DOCSLIB.ORG

Notices of the American Mathematical Society

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Notices of the American Mathematical Society June 18 and 19)- Page 341 Vl 0 ~ Mathematical Society Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 796 August 23-26, 1982 Toronto, Ontario, Canada JUNE 7,1982 August (86th Summer Meeting) 797 October 30-31, 1982 College Park, Maryland AUGUST 27, 1982 October 798 November 12-13, 1982 Baton Rouge, Louisiana AUGUST 24, 1982 October 799 November 12-13, 1982 East Lansing, Michigan SEPTEMBER 13,1982 November 800 November 19-20, 1982 Monterey, California S~PTEMBER 20, 1982 November 801 january 5-9, 1983 Denver, Colorado OCTOBER 12, 1982 january (89th Annual Meeting) 1983 March 18-19, 1983 Norman, Oklahoma April 14-1 5, 1983 New York, New York August 8-12, 1983 Albany, New York (87th Summer Meeting) january 25-29, 1984 Louisville, Kentucky (90th Annual Meeting) january 9-13, 1985 Anaheim, California (91 st Annual Meeting) january 21-25,1987 San Antonio, Texas (93rd Annual Meeting) DEADLINES: Advertising: (August issue) june 23 (October issue) September 9 News/Special Meetings: (August issue) june 7 (October issue) August 23 Other Events Sponsored by the Society june 28-July 16, 1982, AMS-ASL Summer Research Institute on Recursion Theory, Cornell University, Ithaca, New York. February issue, page 194. july 6-16, 1982, AMS-SIAM Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, Univers1ty of Chicago. February issue, page 194. August 21-22, 1982, AMS Short Course: Statistical Data Analysis, Toronto, Canada. This issue, page 350. Subscribers' changes of address should be reported well in advance to avoid disruption of service: address labels are prepared four to six weeks in advance of the date of mailing. Requests for a change of address should a/ways include the member or subscriber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service change-of­ address forms are not adequate for this purpose, since they make no provision for several important items of information which are essential for the AMS records. Suitable forms are published from time to time in the Notices (e.g. June 1980, page 378). Send change of address notices to the Society at Post Office Box 6248, Providence, RI 02940. [Notices is published eight times a year (January, February, April, June, August, October, November, December) by the American Mathematical Society at 201 Charles Street, Providence, RI 02904. Second class postage paid at Providence, RI and additional mailing offices. POSTMASTER: Send address change notices to Membership and Sales Department, American Mathematical Society, Post Office Box 6248, Providence, RI 02940.] Publication here of the Society's street address, and the other information in brackets above, is a technical requirement of the U. S. Postal Service. The street address should never be used by correspondents, unless they plan to deliver their messages by hand. Members are strongly urged to notify the Society themselves of address changes (in the manner described above), since (as explained above) reliance on the postal service change-of-address forms is liable to cause delays in processing such requests in the AMS office. Notices of the American Mathematical Society Volume 29, Number 4, june 1982 EDITORIAL COMMITTEE Ralph P. Boas, Ed Dubinsky Richard j. Griego, Susan Montgomery Mary Ellen Rudin, Bertram Walsh Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst ASSOCIATE EDITORS Hans Samelson, Queries Ronald L. Graham, Special Articles 322 Cryptology and the National Security Agency SUBSCRIPTION ORDERS Subscription for Vol. 29 (1982): 324 Letters to the Editor $36 list, $18 member. The subscription 326 Queries price for members is included in the annual dues. Subscriptions and orders 329 1982 AMS Elections for AMS publications should be 330 News and Announcements addressed to the American Mathematical Society, P. 0. Box 1571, Annex Station, 332 NSF News & Reports Providence, Rl 02901. All orders must 335 AMS Reciprocity Agreements be prepaid. 341 Future Meetings of the Society ORDERS FOR AMS BOOKS AND Bellingham, june 18-19, 341 INQUIRIES ABOUT SALES, SUBSCRIP­ Toronto, August TIONS, AND DUES may be made by 23-26, 347 calling Carol-Ann Blackwood at College Park, October 30-37, 367 800-556-7774 (toll free in U.S.) between Baton Rouge, November 72-73, 368 8:00a.m. and 4:15 p.m. eastern time, Invited Speakers, 370; Special Sessions, 370 Monday through Friday. See page 17. Information for Organizers of Special CHANGE OF ADDRESS. To avoid Sessions, 371 interruption in service please send 373 Special Meetings address changes four to six weeks in advance. It is essential to include the 377 New AMS Publications member code which appears on the 381 Miscellaneous address label with all correspondence Personal Items, 381; Deaths, 381; regarding subscriptions. Visiting Mathematicians, 382 INFORMATION ABOUT ADVERTISING 385 Acknowledgement of Contributions in the Notices may be obtained from Virginia Biber at 401-272·9500. 389 AMS Reports and Communications CORRESPONDENCE, including changes Recent Appointments, 389; Reports of Past of address should be sent to American Meetings: Cincinnati, 389; March Council Mathematical Society, P.O. Box 6248, Meeting, 391 Providence, Rl 02940. 393 Advertisements Second class postage paid at 395 Registration Forms Providence, Rl, and additional mailing offices. Copyright © 1982 by the Toronto Preregistration and Housing American Mathematical Society. Reservation Form, 395, 396; Printed in the United States of America. Summer List of Applicants, 398, 399 Cryptology and the National Security Agency The National Security Agency has been moving to carry out a recommendation from the Public Cryptography Study Group to institute a system of voluntary prepublication review of certain material of interest to the Agency. (The PCSG report was reprinted in the October 1981 Notices, pages 517 to 526.) The position of the Council in anticipation of a request from the NSA was recorded in the February 1982 Notices on page 213. One aspect of the Council position was that the Notices should publicize, without endorsement, any request by NSA for individuals to participate in the review process. The following letter from the Director of the NSA to the Executive Director of the Society is an invitation to individuals voluntarily to submit papers relating to cryptography to the NSA for security review. National Security Agency Central Security Service Fort George G. Meade, Maryland 20755 Serial: N0463 22 Apr 1982 Dr. William J. LeVeque Executive Director American Mathematical Society P.O. Box 6248 Providence, Rhode Island 02940 Dear Dr. LeVeque: Two years ago at the suggestion of my predecessor Admiral Inman the American Council on Education sponsored, under a grant from the National Science Foundation, a Public Cryptography Study Group (PCSG) to address the concerns of the National Security Agency (NSA) that some information contained in published articles and monographs on cryptography could endanger the mission of NSA and the national security. The PCSG released a report in April 1981 that presents a detailed description of the concerns held by the involved parties. These concerns fall into two major categories-protection of national security and the issues that may affect private-sector research. The report concluded with a statement of recommended guidelines for a voluntary prepublication review program designed to assist authors/researchers and NSA in protecting against the inadvertent disclosure of cryptologic information that would be damaging to national security. NSA has accepted the PCSG guidelines and is moving toward their full implementation. Within this framework, we have developed internal procedures to facilitate timely review of research papers and provide a rapid response to authors. A central point has been established for receipt, staffing and response to authors submitting papers. As we have already received approximately 25 papers, we have been able to test the system. These papers have been reviewed and commented upon within our 30-day target. To date no national security concerns have been raised with any of the papers we have reviewed. If a paper does cause a national security concern, we will communicate directly with the author to make arrangements for a personal discussion of how the paper might be made acceptable to all concerned. We fully expect that we will be able to reach an accord with the author in such a case. However, if not, the author will have an appeal mechanism. Although not yet fully staffed, a five-member Public Cryptography Advisory Committee (PCAC) is being established to serve as the appeal mechanism for authors who choose to use it.
Load more

Recommended publications
  • “The Church-Turing “Thesis” As a Special Corollary of Gödel's
    “The Church-Turing “Thesis” as a Special Corollary of Gödel’s Completeness Theorem,” in Computability: Turing, Gödel, Church, and Beyond, B. J. Copeland, C. Posy, and O. Shagrir (eds.), MIT Press (Cambridge), 2013, pp. 77-104. Saul A. Kripke This is the published version of the book chapter indicated above, which can be obtained from the publisher at https://mitpress.mit.edu/books/computability. It is reproduced here by permission of the publisher who holds the copyright. © The MIT Press The Church-Turing “ Thesis ” as a Special Corollary of G ö del ’ s 4 Completeness Theorem 1 Saul A. Kripke Traditionally, many writers, following Kleene (1952) , thought of the Church-Turing thesis as unprovable by its nature but having various strong arguments in its favor, including Turing ’ s analysis of human computation. More recently, the beauty, power, and obvious fundamental importance of this analysis — what Turing (1936) calls “ argument I ” — has led some writers to give an almost exclusive emphasis on this argument as the unique justification for the Church-Turing thesis. In this chapter I advocate an alternative justification, essentially presupposed by Turing himself in what he calls “ argument II. ” The idea is that computation is a special form of math- ematical deduction. Assuming the steps of the deduction can be stated in a first- order language, the Church-Turing thesis follows as a special case of G ö del ’ s completeness theorem (first-order algorithm theorem). I propose this idea as an alternative foundation for the Church-Turing thesis, both for human and machine computation. Clearly the relevant assumptions are justified for computations pres- ently known.
    [Show full text]
  • Unfolding of Systems of Inductive Definitions
    UNFOLDINGOFSYSTEMSOFINDUCTIVE DEFINITIONS A DISSERTATION SUBMITTED TO THE DEPARTMENT OF MATHEMATICS AND THE COMMITTEE OF GRADUATE STUDIES OF STANFORD UNIVERSITY IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FORTHEDEGREEOF DOCTOROFPHILOSOPHY Ulrik Torben Buchholtz December 2013 © 2013 by Ulrik Torben Buchholtz. All Rights Reserved This work is licensed under the Creative Commons Attribution 3.0 United States License. To view a copy of this license, visit http://creativecommons.org/licenses/by/3.0/us/ or send a letter to Creative Commons, 444 Castro Street, Suite 900, Mountain View, California, 94041, USA. This dissertation is online at: http://purl.stanford.edu/kg627pm6592 ii I certify that I have read this dissertation and that, in my opinion, it is fully adequate in scope and quality as a dissertation for the degree of Doctor of Philosophy. Solomon Feferman, Primary Adviser I certify that I have read this dissertation and that, in my opinion, it is fully adequate in scope and quality as a dissertation for the degree of Doctor of Philosophy. Grigori Mints, Co-Adviser I certify that I have read this dissertation and that, in my opinion, it is fully adequate in scope and quality as a dissertation for the degree of Doctor of Philosophy. Thomas Strahm Approved for the Stanford University Committee on Graduate Studies. Patricia J. Gumport, Vice Provost for Graduate Education An original signed hard copy of the signature page is on file in University Archives. iii iv ABSTRACT This thesis is a contribution to Solomon Feferman’s Unfolding Program which aims to provide a general method of capturing the operations on individuals and predicates (and the principles governing them) that are implicit in a formal axiomatic system based on open-ended schemata.
    [Show full text]
  • Msc Projects (MATH61000)
    MSc Projects (MATH61000) Marcus Tressl http://personalpages.manchester.ac.uk/staff/Marcus.Tressl/ Course homepage (including these slides): ...teaching/MScProjects/index.php MSc Pure Mathematics and Mathematical Logic The University of Manchester, Department of Mathematics 1. Content of this module - overview 1 This module is running throughout the taught component, i.e., from the end of September to the end of May. 2 It is compulsory and worth 30 credits. (All other taught modules in the MSc are worth 15 credits, the dissertation is worth 60 credits.) 3 The unit \credit" indicates the total number of hours students are expected to work, including lectures and revision: 1 credit = 10 hours. 4 All material that I provide for this module (including these slides) are posted on the module's homepage. There is nothing on \Blackboard"/My Manchester. y 1. Content of this module - brief outline Part A: Mathematical writing, presentation and mini-project This part is worth 10 credits and runs until Friday of week 8 (19 November 2021). You are expected to work 12 hours per week in Part A. Contents of this part: Six lectures on research skills (writing and presenting mathematics, LaTeX, resources) in weeks 0,1 and 2. Students write a mini-project over a period of 6 weeks. Submission deadline: Friday, November 12, 3pm. Presentation of the mini-project by the students in week 8. A more detailed timetable may be found at the module's homepage. y 1. Content of this module - brief outline Part B: The main project This part is worth 20 credits and runs from November 22, 2021 to May 23, 2022.
    [Show full text]
  • Proof Theory Synthese Library
    PROOF THEORY SYNTHESE LIBRARY STUDIES IN EPISTEMOLOGY, LOGIC, METHODOLOGY, AND PHILOSOPHY OF SCIENCE Managing Editor: JAAKKO HINTIKKA, Boston University Editors: DIRK VAN DALEN, University of Utrecht, The Netherlands DONALD DAVIDSON, University of California, Berkeley THEO A.F. KUIPERS, University of Groningen, The Netherlands PATRICK SUPPES, Stanford University, California JAN WOLENSKI, iagiellonian University, Krakow, Poland VOLUME 292 PROOF THEORY History and Philosophical Significance Edited by VINCENT F. HENDRICKS University of Copenhagen. Denmark STIG ANDUR PEDERSEN and KLAUS FROVIN J0RGENSEN University of Roskilde, Denmark SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-90-481-5553-8 ISBN 978-94-017-2796-9 (eBook) DOI 10.1007/978-94-017-2796-9 Printed on acid-free paper All Rights Reserved © 2000 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2000 Softcover reprint of the hardcover 1st edition 2000 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. CONTENTS Preface ................................................................. ix Contributing Authors ................................................. , xi HENDRICKS, PEDERSEN AND J0RGENSEN / Introduction .......... 1 PART 1. REVIEW OF PROOF THEORY SOLOMON FEFERMAN / Highlights in Proof Theory ................ , 11 1. Review of Hilbert's Program and Finitary Proof Theory ......... , 11 2. Results of Finitary Proof Theory via Gentzen's L-Calculi ......... 14 3. Shifting Paradigms .............................................. 21 4. Countably Infinitary Methods (Getting the Most Out of Logic) ..
    [Show full text]
  • Journals Published by the American Mathematical Society
    JOURNALS PUBLISHED BY THE AMERICAN MATHEMATICAL SOCIETY Bulletin of the American Mathematical Society is the official organ of the Society. It reports official acts of the Society and the details of its meetings. It contains some of the officially invited addresses presented before the Society, reviews of advanced mathematical books, and has a department of research announcements. Invited addresses offered for publication should be sent to HANS F. WEINBERGER, Dept. of Mathematics, University of Minnesota, Minneapolis, MN 55455. Book reviews should be sent to PAUL R. HALMOS, Dept. of Mathematics, Indiana University, Bloomington, IN 47401. Research announcements are limited to 100 typed lines of 65 characters each. They are intended to communicate outstanding results that are to be reported in full elsewhere. Research announcements should be sent directly to a member of the Council of the American Mathematical Society who is also a member of an editorial committee of the Society. The names of these Council members are on the inside back cover. All other correspondence about research announcements should be sent to JOHN L. KELLEY, Dept. of Mathematics, University of California, Berkeley, CA 94720. The first page of each article, including research announcements, that is submitted for publication should bear a descriptive title which should be short, but informative. Useless or vague phrases such as "some remarks about" or "concerning" should be avoided. Before the first footnote, there should be the AMS (MOS) subject classification numbers representing the primary and secondary subjects of the article. If a list of key words and phrases describing the subject matter of the article is included, it will also be printed as a footnote on the first page.
    [Show full text]
  • An Interview with Martin Davis
    Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Geometry Ramanujan‘s Lost Notebook An Introduction to Mathematical of the American Mathematical Society Selected Topics in Plane and Solid Part II Cryptography May 2008 Volume 55, Number 5 Geometry G. E. Andrews, Penn State University, University J. Hoffstein, J. Pipher, J. Silverman, Brown J. Aarts, Delft University of Technology, Park, PA, USA; B. C. Berndt, University of Illinois University, Providence, RI, USA Mediamatics, The Netherlands at Urbana, IL, USA This self-contained introduction to modern This is a book on Euclidean geometry that covers The “lost notebook” contains considerable cryptography emphasizes the mathematics the standard material in a completely new way, material on mock theta functions—undoubtedly behind the theory of public key cryptosystems while also introducing a number of new topics emanating from the last year of Ramanujan’s life. and digital signature schemes. The book focuses Interview with Martin Davis that would be suitable as a junior-senior level It should be emphasized that the material on on these key topics while developing the undergraduate textbook. The author does not mock theta functions is perhaps Ramanujan’s mathematical tools needed for the construction page 560 begin in the traditional manner with abstract deepest work more than half of the material in and security analysis of diverse cryptosystems. geometric axioms. Instead, he assumes the real the book is on q- series, including mock theta Only basic linear algebra is required of the numbers, and begins his treatment by functions; the remaining part deals with theta reader; techniques from algebra, number theory, introducing such modern concepts as a metric function identities, modular equations, and probability are introduced and developed as space, vector space notation, and groups, and incomplete elliptic integrals of the first kind and required.
    [Show full text]
  • PREFACE Does God Have a Big Toe? (Pages 1 - 13)
    PREFACE Does God have a Big TOE? We are called to be in the world. Not of it. But not out of it, either.1 This book holds the mirror to a single paradox: We must live the historical moment we are in without letting that moment explain us. Christianity must bring to every culture an indigenous faith that is true to its heritage without Christianity’s becoming a culture faith. If every book has one idea, this is it for the one you are reading. The cardinal sin for modernity has been antiintellectualism, a dissenting spirit against celebrating the powers of the mind that has gripped large segments of the Christian church. The sin governing much of the church today may be ahistoricalism or antihistoricalism. Large segments of the Christian community, finding the intellectual and social company of modernism more congenial than that of postmodernism, are in retreat, having disconnected from the unprecedented, restructuring changes taking place all around them. The Christian mind is failing to comprehend the times, our times. The New Light apologetic chronicled in this book is devoted to enfranchising and energizing Christians to connect their faith with the indigenous historical place in which God has chosen them to live. It aims to jolt Christians into a sense of their own time, out of their fashionable out-of-itness. For the God who exists beyond time is the God who lives, moves, and has being in this time. The ultimate hospitality is, then, an entertainment of divine mystery in human life. Benedictine/biblical scholar Demetrius R.
    [Show full text]
  • 2010 Mathematics Newsletter
    AUTUMN 2010 NEWSLETTER OF THE DEPARTMENT OF MATHEMATICS AT THE UNIVERSITY OF WASHINGTON Mathematics NEWS 1 DEPARTMENT OF MATHEMATICS NEWS MESSAGE FROM THE CHAIR The 2009–10 academic year, which now followed by an RTG grant, both from the NSF, started with the tragic loss of our and from a number of new endowments established by colleague Paul Tseng, was trans- the Department’s friends and alumni. formed into a most exciting one Despite the tight job market, our PhD graduates con- by our students and faculty. High- tinue to place into excellent positions. During the past lights you will read about in this three years alone, they have received postdoctoral newsletter include the Putnam Fel- appointments at Penn, Columbia, Princeton, Stanford, lowship won by Will Johnson, the Northwestern, MIT, UC Davis, UBC and Warwick, and UW Sophomore and Junior Medals jobs at Chevron, Microsoft and Google. awarded to Mark Bun and Will Johnson, the selection of the team of Mark Bun, Jerry Li, and Ian Zemke as As students, teaching assistants and researchers, our one of the nine Outstanding Winners among the 2,254 graduate students make critical contributions to every teams that participated in the Mathematical Contest aspect of the Department’s mission. The Department in Modeling, the Dean’s Medal and a National Science has worked very hard during the past dozen years Foundation (NSF) Graduate Fellowship won by Nate to build a vigorous graduate program of nearly 90 Bottman, an equally prestigious Department of Energy students. I am very pleased to see that we have main- Graduate Fellowship awarded to Genia Vogman, NSF tained the size, quality and morale of the program Postdoctoral Fellowships awarded to Jim Gill and our even as we go through the worst economic crisis of PhD graduate Catherine Williams, the election of Gun- our lifetimes.
    [Show full text]
  • Topology Proceedings C and C ∗ AMONG INTERMEDIATE RINGS 1
    Submitted to Topology Proceedings C AND C∗ AMONG INTERMEDIATE RINGS JOSHUA SACK AND SALEEM WATSON Abstract. Given a completely regular Hausdorff space X, an in- termediate ring A(X) is a ring of real valued continuous functions between C∗(X) and C(X). We discuss two correspondences be- tween ideals in A(X) and z-filters on X, both reviewing old results and introducing new results. One correspondence, ZA, extends the well-known correspondence between ideals in C∗(X) and z- filters on X. The other, ZA, extends the natural correspondence between ideals in C(X) and z-filters on X. This paper highlights how these correspondences help clarify what properties of C∗(X) and C(X) are shared by all intermediate rings and what properties of C∗(X) and C(X) characterize those rings among intermediate rings. Using these correspondences, we introduce new classes of ideals and filters for each intermediate ring that extend the notion of z-ideals and z-filters for C(X), and with ZA, a new class of filters for each intermediate ring A(X) that extends the notion of e-filter for C∗(X). 1. Introduction Let X be a completely regular topological space, C(X) the ring of all continuous real-valued functions on X, and C∗(X) the ring of bounded continuous real-valued functions on X. A ring A(X) of continuous func- tions on X is called an intermediate ring if C∗(X) ⊆ A(X) ⊆ C(X) : 2010 Mathematics Subject Classification. Primary 54C40; Secondary 46E325. Key words and phrases. Rings of continuous functions, ideals, z-filters, kernel, hull.
    [Show full text]
  • Dockets for March 5, 1973
    Cllancellor's Docket No. 62 TILE UNIVLRSlTY 017 TIXAS SYSTEM Office of the Chancellor February 14, 1973 TO TIE HONORABLE BOARD OF REGENTS OF THE UNIVERSITY OF TEXAS SYSTEM Mrs. Johnson and Gentlemen: The dockets prepared by the component institutions listed below are herewith submitted with my recommendation for ratification or approval, as appropriate, at the meeting of the Board of Regents on March 5, 1973. The budget changes included in these dockets have been approved by me and are herewith submitted as a report to the Board of Regents. The University of Texas at Arlington (Page Code AR) The Uni-versity of Texas at Austin (Page Code A) The University of Texas at Dallas (Page Code D) The University of Texas at El Paso {Page Code EP) The University of Texas of the Permldn Basin (Page Code PB) The University of Texas at San Antonio (Page Code SA) The University of Texas Health Science Center at Dallas (Page Code HD) The University of Texas Nedical Branch at Galveston (Page Code G) The University of Texas Healtt Science Center at Houston (Page Code HH) The University of Texas Health Science Center at San Antonio (Page Code HS) The University of Texas System Cancer Center (Page Code CCj The University of Texas System School of Nursing (Page Code N) On the following pages, C-2 through C-7, are U. T. System and Institutional items ,which I also recommend for the Board's ratification or approval, as appropriate, including my report of budget changes. Sincerely, Charles A. LeMaistre, Ma D. Chancellor 1.
    [Show full text]
  • Rings of Continuous Functions in Which Every Finitely Generated Ideal Is Principal Leonard Gillman University of Texas at Austin
    Claremont Colleges Scholarship @ Claremont All HMC Faculty Publications and Research HMC Faculty Scholarship 1-1-1956 Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal Leonard Gillman University of Texas at Austin Melvin Henriksen Harvey Mudd College Recommended Citation Gillman, L., and M. Henriksen. "Rings of continuous functions in which every finitely generated ideal is principal." Transactions of the American Mathematical Society 82:2 (1956): 366–391. DOI: 10.1090/S0002-9947-1956-0078980-4 This Article is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted for inclusion in All HMC Faculty Publications and Research by an authorized administrator of Scholarship @ Claremont. For more information, please contact [email protected]. RINGS OF CONTINUOUS FUNCTIONS IN WHICH EVERY FINITELY GENERATED IDEAL IS PRINCIPAL(l) BY LEONARD GILLMAN AND MELVIN HENRIKSEN An abstract ring in which all finitely generated ideals are principal will be called an F-ring. Let C(X) denote the ring of all continuous real-valued func­ tions defined on a completely regular (Hausdorff) space X. This paper is devoted to an investigation of those spaces X for which C(X) is an F-ring. In any such study, one of the problems that arises naturally is to deter­ mine the algebraic properties and implications that result from the fact that the given ring is a ring of functions. Investigation of this problem leads directly to two others: to determine how specified algebraic conditions on the ring are reflected in topological properties of the space, and, conversely, how specified topological conditions on the space are reflected in algebraic prop­ erties of the ring.
    [Show full text]
  • Notices of the American Mathematical Society ABCD Springer.Com
    ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com More Math Number Theory NEW Into LaTeX An Intro duc tion to NEW G. Grätzer , Mathematics University of W. A. Coppel , Australia of the American Mathematical Society Numerical Manitoba, National University, Canberra, Australia Models for Winnipeg, MB, Number Theory is more than a May 2009 Volume 56, Number 5 Diff erential Canada comprehensive treatment of the Problems For close to two subject. It is an introduction to topics in higher level mathematics, and unique A. M. Quarte roni , Politecnico di Milano, decades, Math into Latex, has been the in its scope; topics from analysis, Italia standard introduction and complete modern algebra, and discrete reference for writing articles and books In this text, we introduce the basic containing mathematical formulas. In mathematics are all included. concepts for the numerical modelling of this fourth edition, the reader is A modern introduction to number partial diff erential equations. We provided with important updates on theory, emphasizing its connections consider the classical elliptic, parabolic articles and books. An important new with other branches of mathematics, Climate Change and and hyperbolic linear equations, but topic is discussed: transparencies including algebra, analysis, and discrete also the diff usion, transport, and Navier- the Mathematics of (computer projections). math Suitable for fi rst-year under- Stokes equations, as well as equations graduates through more advanced math Transport in Sea Ice representing conservation laws, saddle- 2007. XXXIV, 619 p. 44 illus. Softcover students; prerequisites are elements of point problems and optimal control ISBN 978-0-387-32289-6 $49.95 linear algebra only A self-contained page 562 problems.
    [Show full text]