Proceedings of a conference held May 2327, 1990, with support from the National Science Foundation, the Institute of Mathematics and Its Applications, Indiana University, and the University of Cincinnati.

Includes bibliographical references.

Geometry of quantum planes ; Locally pureprojective modules ; On the BlattnerMontgomery duality theorem for Hopf algebras ; Actions of solvable algebraic groups on noncommutative rings ; Nontrivial, locally trivial Azumaya algebras ; The Cartan determinant and global dimension of Artinian rings ; Integral representations of finite groups with finite representation type ; Homomorphisms between Ore extensions ; Differential identities of prime rings, Kharchenko's theorem, and applications ; Hopf Galois extensions ; Enveloping algebras of Lie superalgebras: a survey ; Constructing nonstandard uniserial modules over valuation domains ; What makes a skew group ring prime? ; Wedderburn's method and algebraic elements of simple Artinian rings ; Finitedimensional division algebras ; Gubeladze's proof of Anderson's conjecture ; On Azumaya projective group rings ; Some ring themes in the theory of varieties of group representations ; Valuations on tensor products of symbol algebras ; Torsionfree modules over regular domains of dimension two Michael Artin ; Goro Azumaya ; Margaret Beattie ; William Chin ; F R DeMeyer and T J Ford ; Kent R Fuller ; Jeremy Haefner and Lee Klingler ; T Y Lam and A Leroy ; Charles Lanski ; S Montgomery ; Ian M Musson ; Barbara L Osofsky ; James Osterburg and D S Passman ; Louis H Rowen ; David J Saltman ; Richard G Swan ; George Szeto and YuenFat Wong ; Samuel M Vovsi ; Adrian R Wadsworth ; Roger Wiegand