Contemporary Mathematics 1992; 298 pp; softcover Volume: 124 ISBN10: 0821851322 ISBN13: 9780821851326 List Price: US$51 Member Price: US$40.80 Order Code: CONM/124
 This volume contains the proceedings of a conference in honor of Goro Azumaya's seventieth birhtday, held at Indiana University in Bloomington in May 1990. Professor Azumaya, who has been on the faculty at Indiana University since 1968, has made many important contributions to modern abstract algebra. His introduction and investigation of what have come to be known as Azumaya algebras subsequently stimulated much research on such rings and algebras, as well as applications to geometry and number theory. In addition to honoring Professor Azumaya's contributions, the conference was intended to stimulate interaction among three areas of his research interests: Azumaya algebras, group and Hopf algebra actions, and module theory. Aimed at researchers in algebra, this volume contains contributions by some of the leaders in these areas. Table of Contents  M. Artin  Geometry of quantum planes
 G. Azumaya  Locally pureprojective modules
 M. Beattie  On the BlattnerMontgomery duality theorem for Hopf algebras
 W. Chin  Actions of solvable algebraic groups on noncommutative rings
 F. R. DeMeyer and T. J. Ford  Nontrivial, locally trivial Azumaya algebras
 K. R. Fuller  The Cartan determinant and global dimension of Artinian rings
 J. Haefner and L. Klingler  Integral representations of finite groups with finite representation type
 T. Y. Lam and A. Leroy  Homomorphisms between Ore extensions
 C. Lanski  Differential identities of prime rings, Kharchenko's theorem, and applications
 S. Montgomery  Hopf Galois extensions
 I. M. Musson  Enveloping algebras of Lie superalgebras: A survey
 B. L. Osofsky  Constructing nonstandard uniserial modules over valuation domains
 J. Osterburg and D. S. Passman  What makes a skew group ring prime?
 L. H. Rowen  Wedderburn's method and algebraic elements of simple Artinian rings
 D. J. Saltman  Finite dimensional division algebras
 R. G. Swan  Gubeladze's proof of Anderson's conjecture
 G. Szeto and Y.F. Wong  On Azumaya projective group rings
 S. M. Vovsi  Some ring themes in the theory of varieties of group representations
 A. R. Wadsworth  Valuations on tensor products of symbol algebras
 R. Wiegand  Torsionfree modules over regular domains of dimension two
