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Notices of the American Mathematical Society OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings • . • . Inside Front Cover Program for the April Meeting in Berkeley, California . 158 Abstracts for the Meeting: Pages A -469-A -482 PRELIMINARY ANNOUNCEMENTS OF MEETING . 163 MATHEMATICAL SCIENCES EMPLOYMENT REGISTER . 166 A MATHEMATICAL VISIT TO CHINA. 167 LETTERS TO THE EDITOR . 170 MEMORANDA TO MEMBERS . 172 Combined Membership List, 1972-1973, Change of Address or Position SPECIAL MEETINGS INFORMATION CENTER. 173 SUMMER GRADUATE COURSES . 182 NEW AMS PUBLICATIONS ..... 183 NEWS ITEMS AND ANNOUNCEMENTS . 162, 165, 166, 172, 181, 184 PERSONAL ITEMS . 185 ABSTRACTS ........... A-289 SITUATIONS WANTED ADVERTISEMENTS A-482 INDEX TO ADVERTISERS . A-498 Six Hundred Ninety-Fourth Meeting University of California, Berkeley Berkeley, California April22, 1972 The six hundred ninety-fourth meet­ HOTEL DURANT ing of the American Mathematical Society 2600 Durant Avenue, Zip Code 94704 will be held at the University of Califor­ Phone: (415) 895-8981 nia, Berkeley, California, on Saturday, Single $12,00 up April 22, 1972. Double 15,50up By invitation of the Committee to Twin 16,50 up Select Hour speakers for Far Western HOTEL SHATTUCK Sectional Meetings, there will be two Shattuck Avenue and Allston Way, Zip one-hour addresses. Professor Roger Code 94704 Richardson of the University of Washing­ Phone: (415) 845-7300 ton will lecture at ll :00 a.m.; the title of his lecture is "On the variation of The Hotel Durant and the Hotel Shattuck isotropy subgroups." Professor Joseph L. are within easy walking distance of the Taylor of the University of Utah will give campus. Participants should write or the second address at 2:00 p.m.; he will telephone hotels or motels if reservations speak on "Functions of several noncom­ are desired. muting variables." Both lectures will be Several airlines serve the San Fran­ given in Room 10 of Evans Hall. There cisco and Oakland airports. Taxi fare will be sessions for contributed papers from Oakland Airport to downtown Berke­ in the morning and afternoon. ley is approximately $8.00, and lim::>usine The registration desk will be located service is about $3.00. The Hotel Durant in the ground level lobby of Evans Hall. is a terminal for Oakland Airport Limou­ Registration will begin at 8:30 a.m. on sine Service. Taxi service from San Saturday. Francisco Airport to Berkeley is approx­ There are numerous motels and ho­ imately $14.50. One can take a limousine tels in Berkeley, some of which are listed from the San Francisco Airport to the below: downtown San Francisco terminal, then a BERKELEY MOTEL taxi to the bus terminal, and a bus to 2001 Bancroft Way, Zip Code 94704 Berkeley. Helicopter service is available Phone: (415) 845-9644 from San Francisco Airport to the Berke­ Double $ 8.50 up ley Heliport. The fare, purchased locally, Twin 10.00 up is $9.00, WhentheSanFrancisco-Berkeley Family room 13,50 flight is purchased as a portion of a ticket from point of departure, the fare may be $4.50 BERKELEY TRAVELODGE reduced by an amount varying from 1820 University Avenue, Zip Code 94703 to $8.00, depending on the airline. Persons driving to the meeting on the Phone: ( 415) 843-4262 Single $11.00 up freeway from any direction should take Double 14.00 up the University Avenue turnoff. Drive east Twin 17.00up on University Avenue (toward the hills) to the cam pus; turn left off University onto FLAMINGO MOTEL Oxford Street. Turn right off Oxford onto 1761 University A venue, Zip Code 94703 Hearst Avenue and continue up Hearst to Phone: (415) 841-4242 LaLoma Avenue. Participants may park Single $12.00 up in the AB lots of the parking structure H Double 14.00 up which is located on the northwest corner Twin l6.00up of Hearst and LaLoma. 158 PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. To maintain this schedule, the time limit will be strictly enforced. SATURDAY, 9:00 A. M. Session on Semigroups, Room 70, Evans Hall 9:00-9:10 (1) Exponent of semigroups and order-bounded groups Professor Takayuki Tamura, University of California, Davis (694-All) 9:15-9:25 (2) On exponential archimedean semigroups with idempotent. Preliminary report Professor Takayuki Tamura and Mr. Thomas Edward Nordahl*, University of California, Davis (694-A13) 9:30-9:40 (3) Quotient group of finitely generated N-semigroups. Preliminary report Professor Takayuki Tamura, University of California, Davis, and Professor John C. Higgins*, Brigham Young University (694-A14) 9:45-9:55 (4) Noncancellative congruences on N -semigroups. Preliminary report Dr. Robert P. Dickinson, Jr., Lawrence Radiation Laboratory, University of California, Livermore (694-A10) (Introduced by Professor Takayuki Tamura) 10:00-10:10 (5) The study of commutative semigroups with greatest group homomorphism Professor Takayuki Tamura and Mr. Howard B. Hamilton*, University of California, Davis (694-A12) 10:15-10:25 (6) Greatest regular images of tensor products of commutative semigroups Professor Thomas J. Head*, University of Alaska, and Professor Nobuaki Kuroki, Nikon University, Narashino, Japan (694-AS) 10:30-10:40 (7) Some languages derived from abelian groups Professor Edward J. Tully, University of California, Davis (694-A16) SATURDAY, 9:00 A. M. Session on Functional Analysis, Room 9, Evans Hall 9:00-9:10 (8) Convergence of positive sequences. Preliminary report Professor Philip M. Anselone, Oregon State University, and Professor Ralph L. James*, Stanislaus State College (694-B12) 9:15-9:25 (9) Continuity of derivations of Banach algebras into modules. Preliminary report Professor William G. Bade*, University of California, Berkeley, and Professor Philip C. Curtis, Jr. , University of California, Los Angeles (694-B14) 9:30-9:40 (10) Order-continuous states on Rickart algebras. Preliminary report Mr. Milton Philip Olson, Lafayette, California (694-B18) 9:45-9:55 (11) A note on locally c*-algebras. Preliminary report Professor Banshi D. Malviya, North Texas State University (694-B15) 10:00-10:10 (12) Extension of the Krein-Milman theorem. Preliminary report Mr. Stephan Michael Sperling, University of California, Los Angeles (694-B6) 10:15-10:25 (13) Generalized numerical range. II. Preliminary r13port Professor Charles F. Amelin, California State Polytechnic College, Kellogg-Voorhis (694-B2) *For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. 159 10:30-10:40 (14) Vanishing second commutators in operator theory and Lie group representations Preliminary report Professor Robert T. Moore, University of Washington (694-B13) SATURDAY, 9:00 A. M. General Session, Room 3, Evans Hall 9:00-9:10 (15) Equivalence of constant and time varying quadratic performance criteria Dr. Clyde F. Martin, NASA, Ames Research Center, Moffett Field, California (694-C1) 9:15-9:25 (16) On the spectral representation for symmetric stable random variables. Preliminary report Dr. Marek Kanter, Tulane University (694-F1) (Introduced by Professor Jacob Feldman) 9:30-9:40 (17) Pointwise bounds on the discrete Laplacian of a harmonic function Dr. Robert L. Meyer, California State College at Los Angeles (694-C3) 9:45-9:55 (18) Existence of solutions for singular nonlinear integral equations resulting from plane free surface flows. Preliminary report Mr. Gordon E. Ritchie, University of Santa Clara (694-C2) (Introduced by Professor Irving Sussman) 10:00-10:10 (19) Jackson type theorems for approximation with side conditions. Preliminary report Mr. Darell J. Johnson, University of California, Riverside (694-B3) 10:15-10:25 (20) A generalized hypergeometric integral transform. Preliminary report Professor Moses E. Cohen, Fresno State College (694-B8) 10:30-10:40 (21) Theorems on absolute Cesaro summability of integral Mr. Santiranjan Mukhoti, Council of Scientific and Industrial Research, Rafi Marg, New Delhi, India (694-Bll) SATURDAY, ll:OOA. M. Invited Address, Room 10, Evans Hall On the variation of isotropy subgroups Professor Roger Richardson, University of Washington SATURDAY, 2:00P.M. Invited Address, Room 10, Evans Hall Functions of several noncommuting variables Professor Joseph L. Taylor, University of Utah SATURDAY, 3:15P.M. Session on Number Theory and· Combinatorics, Room 81, Evans Hall 3:15-3:25 (22) Modules over orders and transformations of quadratic forms Dr. Bart Francis Rice, Naval Postgraduate School (694-A2) 3:30-3:40 (23) Consequences and generalizations of algebraic solution of ~ = yx (0 < x < y). Preliminary report Dr. Daihachiro Sato, University of Saskatchewan, Regina (694-A17) 3:45-3:55 (24) Some combinatorial formulas for partitions. Preliminary report Professor Hugo Sui-Hwan Sun, Fresno State College (694-A9) 4:00-4:10 (25) Self-complementary generalized orbits of a permutation group Professor Roberto Frucht, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile, and Professor Frank Harary*, University of Michigan (694-A3) 160 SATURDAY, 3:15 P. M. Session on Algebra, Room 70, Evans Hall 3:15-3:25 (26) On quasi-groups and quasi-loops satisfying the identity x • xy = yx and their isotopes. Preliminary report Dr. Volodymyr Bohun-chudyniv, Morgan State College (694-A7) 3:30-3:40 (27) Covering theorems for finite nonabelian simple groups. I. Preliminary report Professor J. L. Brenner* (University of Arizona), Palo Alto, California, Mr. M. Randall, Amoco, Calgary, Alberta, Canada, and Professor James Riddell, University of Victoria (694-A1) 3:45-3:55 (28) Free subgroups and Folner's conditions Professor Melven R. Krom, University of California, Davis, and Professor Myren Krom*, Sacramento State College (694-A15) 4:00-4:10 (29) Commutative idempotent generated rings as generalized Boolean rings. Preliminary report Dr. Martin K. McCrea, University of California, Davis (694-A6) (Introduced by Professor Takayuki Tamura) 4:15-4:25 (30) Henselian valuations on an ordered field.
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