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Contemporary Mathematics 124 CONTEMPORARY MATHEMATICS 124 Azumaya Algebras~ Actions~ and Modules Proceedings of a Conference in Honor of Goro Azumaya's Seventieth Birthday http://dx.doi.org/10.1090/conm/124 Contemporary Mathematics Standing orders are accepted for Contemporary Mathematics as well as other book series published by the American Mathematical Society. If you are interested in receiving purchasing information on each new volume in the Contemporary Mathematics series as it is published, please write or call the American Mathematical Society. Customer Services American Mathematical Society Post Office Box 6248 Providence, Rhode Island 02940-6248 1-800-321-4AMS (321-4267) Titles in This Series Volume 1 Markov random fields and their 13 Algebraists' homage: Papers in applications, Ross Kindermann and ring theory and related topics, J. Laurie Snell S. A. Amitsur, D. J. Saltman, and 2 Proceedings of the conference on G. B. Seligman, Editors integration, topology, and geometry in 14 Lectures on Nielsen fixed point theory, linear spaces, William H. Graves, Editor Boju Jiang 3 The closed graph and P-closed 15 Advanced analytic number theory. graph properties in general topology, Part 1: Ramification theoretic methods, T. R. Hamlett and L. L. Herrington Carlos J. Moreno 4 Problems of elastic stability and 16 Complex representations of GL(2, K) for vibrations, Vadim Komkov, Editor finite fields K, llya Piatetski-Shapiro 5 Rational constructions of modules 17 Nonlinear partial differential equations, for simple Lie algebras, George B. Joel A. Smaller, Editor Seligman 18 Fixed points and nonexpansive 6 Umbral calculus and Hopf algebras, mappings, Robert C. Sine, Editor Robert Morris, Editor 19 Proceedings of the Northwestern 7 Complex contour integral homotopy theory conference, Haynes representation of cardinal spline R. Miller and Stewart B. Priddy, Editors functions, Walter Schempp 20 Low dimensional topology, Samuel J. 8 Ordered fields and real algebraic Lomonaco, Jr., Editor geometry, D. W. Dubois and T. Recio, Editors 21 Topological methods in nonlinear functional analysis, S. P. Singh, 9 Papers in algebra, analysis and S. Thomaier, and B. Watson, Editors statistics, R. Lidl, Editor 22 Factorizations of b" ± 1, b = 2, 10 Operator algebras and K-theory, 3, 5, 6, 7, 10, 11,12 up to high Ronald G. Douglas and Claude powers, John Brillhart, D. H. Lehmer, Schochet, Editors J. L. Selfridge, Bryant Tuckerman, and 11 Plane ellipticity and related problems, S. S. Wagstaff, Jr. Robert P. Gilbert, Editor 23 Chapter 9 of Ramanujan's second 12 Symposium on algebraic topology in notebook-Infinite series identities, honor of Jose Adem, Samuel Gitler, transformations, and evaluations, Editor Bruce C. Berndt and Padmini T. Joshi Titles in This Series Volume 24 Central extensions, Galois groups, and 43 Group actions on rings, Susan ideal class groups of number fields, Montgomery, Editor A. Frohlich 44 Combinatorial methods in topology and 25 Value distribution theory and its algebraic geometry, John R. Harper applications, Chung-Chun Yang, Editor and Richard Mandelbaum, Editors 26 Conference in modern analysis 45 Finite groups-coming of age, John and probability, Richard Beals, McKay, Editor Anatole Beck, Alexandra Bellow, and Arshag Hajian, Editors 46 Structure of the standard modules for the affine Lie algebra A~ 1 ), Microlocal analysis, M. Salah Baouendi, 27 James Lepowsky and Mirko Prime Richard Beals, and Linda Preiss Rothschild, Editors 47 Linear algebra and its role in systems theory, Richard A. Brualdi, 28 Fluids and plasmas: geometry and David H. Carlson, Biswa Nath Datta, dynamics, Jerrold E. Marsden, Editor Charles R. Johnson, and Robert J. 29 Automated theorem proving, W. W. Plemmons, Editors Bledsoe and Donald Loveland, Editors 48 Analytic functions of one complex 30 Mathematical applications of category variable, Chung-chun Yang and theory, J. W. Gray, Editor Chi-tai Chuang, Editors 31 Axiomatic set theory, James E. Complex differential geometry and Baumgartner, Donald A. Martin, and 49 nonlinear differential equations, Saharan Shelah, Editors Yum-Tong Siu, Editor 32 Proceedings of the conference on Banach algebras and several complex 50 Random matrices and their variables, F. Greenleaf and D. Gulick, applications, Joel E. Cohen, Editors Harry Kesten, and Charles M. Newman, Editors 33 Contributions to group theory, Kenneth I. Appel, John G. Ratcliffe, and 51 Nonlinear problems in geometry, Paul E. Schupp, Editors Dennis M. DeTurck, Editor 34 Combinatorics and algebra, Curtis 52 Geometry of normed linear spaces, Greene, Editor R. G. Bartle, N. T. Peck, A. L. Peressini, 35 Four-manifold theory, Cameron Gordon and J. J. Uhl, Editors and Robion Kirby, Editors 53 The Selberg trace formula and related 36 Group actions on manifolds, Reinhard topics, Dennis A. Hejhal, Peter Sarnak, Schultz, Editor and Audrey Anne Terras, Editors 37 Conference on algebraic topology in 54 Differential analysis and infinite honor of Peter Hilton, Renzo Piccinini dimensional spaces, Kondagunta and Denis Sjerve, Editors Sundaresan and Srinivasa Swaminathan, 38 Topics in complex analysis, Dorothy Editors Browne Shaffer, Editor 55 Applications of algebraic K-theory to 39 Errett Bishop: Reflections on him and algebraic geometry and number theory, his research, Murray Rosenblatt, Editor Spencer J. Bloch, R. Keith Dennis, Eric 40 Integral bases for affine Lie algebras M. Friedlander, and Michael R. Stein, and their universal enveloping algebras, Editors David Mitzman 56 Multiparameter bifurcation theory, 41 Particle systems, random media and Martin Golubitsky and large deviations, Richard Durrett, Editor John Guckenheimer, Editors 42 Classical real analysis, Daniel 57 Combinatorics and ordered sets, Waterman, Editor Ivan Rival, Editor Titles in This Series Volume 58.1 The Lefschetz centennial conference. 74 Geometry of group representations, Proceedings on algebraic geometry, William M. Goldman and Andy R. Magid, D. Sundararaman, Editor Editors 58.11 The Lefschetz centennial conference. 75 The finite calculus associated with Proceedings on algebraic topology, Bessel functions, Frank M. Cholewinski S. Gitler, Editor 76 The structure of finite algebras, 58.111 The Lefschetz centennial conference. David C. Hobby and Ralph Mckenzie Proceedings on differential equations, 77 Number theory and its applications in A. Verjovsky, Editor China, Wang Yuan, Yang Chung-chun, and Pan Chengbiao, Editors 59 Function estimates, J. S. Marron, Editor 78 Braids, Joan S. Birman and Anatoly 60 Nonstrictly hyperbolic conservation Libgober, Editors laws, Barbara Lee Keyfitz and Herbert C. Kranzer, Editors 79 Regular differential forms, Ernst Kunz and Rolf Waldi 61 Residues and traces of differential 80 Statistical inference from stochastic forms via Hochschild homology, processes, N. U. Prabhu, Editor Joseph Lipman 81 Hamiltonian dynamical systems, 62 Operator algebras and mathematical Kenneth R. Meyer and Donald G. Saari, physics, Palle E. T. Jorgensen and Editors Paul S. Muhly, Editors 82 Classical groups and related topics, 63 Integral geometry, Robert L. Bryant, Alexander J. Hahn, Donald G. James, Victor Guillemin, Sigurdur Helgason, and and Zhe-xian Wan, Editors R. 0. Wells, Jr., Editors 83 Algebraic K-theory and algebraic 64 The legacy of Sonya Kovalevskaya, number theory, Michael R. Stein and Linda Keen, Editor R. Keith Dennis, Editors 65 Logic and combinatorics, Stephen G. 84 Partition problems in topology, Simpson, Editor Stevo Todorcevic 66 Free group rings, Narian Gupta 85 Banach space theory, Bor-Luh Lin, Editor 67 Current trends in arithmetical algebraic geometry, Kenneth A. Ribet, Editor 86 Representation theory and number theory in connection with the local 68 Differential geometry: The interface Langlands conjecture, J. Ritter, Editor between pure and applied mathematics, 87 Abelian group theory, Laszlo Fuchs, Mladen Luksic, Clyde Martin, and RUdiger Gobel, and Phillip Schultz, William Shadwick, Editors Editors 69 Methods and applications of 88 Invariant theory, R. Fossum, mathematical logic, Walter A. Carnielli W. Haboush, M. Hochster, and and Luiz Paulo de Alcantara, Editors V. Lakshmibai, Editors 70 Index theory of elliptic operators, 89 Graphs and algorithms, R. Bruce foliations, and operator algebras, Richter, Editor Jerome Kaminker, Kenneth C. Millett, 90 Singularities, Richard Randell, Editor and Claude Schochet, Editors 91 Commutative harmonic analysis, 71 Mathematics and general relativity, David Colella, Editor James A. Isenberg, Editor 92 Categories in computer science and 72 Fixed point theory and its applications, logic, John W. Gray and Andre Scedrov, R. F. Brown, Editor Editors 73 Geometry of random motion, Rick 93 Representation theory, group rings, and Durrett and Mark A. Pinsky, Editors coding theory, M. Isaacs, A. Lichtman, Titles in This Series Volume D. Passman, S. Sehgal, N. J. A. Sloane, 111 Finite geometries and combinatorial and H. Zassenhaus, Editors designs, Earl S. Kramer and Spyros S. 94 Measure and measurable dynamics, Magliveras, Editors R. Daniel Mauldin, R. M. Shortt, and 112 Statistical analysis of measurement Cesar E. Silva, Editors error models and applications, 95 Infinite algebraic extensions of finite Philip J. Brown and Wayne A. Fuller, fields, Joel V. Brawley and George E. Editors Schnibben 113 Integral geometry and tomography, 96 Algebraic topology, Mark Mahowald Eric Grinberg and Eric Todd Quinto, and Stewart Priddy, Editors Editors 97 Dynamics and control of multibody 114 Mathematical developments arising systems, J. E. Marsden, P. S. from linear
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