Trends in Ring Theory: Proceedings of a Conference at Miskolc, Hungary July 15-20, 1996 (Conference Proceedings (Canadian Mathematical Society))

The Ring Theory Conference (University of Miskolc, Hungary) successfully accomplished its two goals: 1) to reflect contemporary trends in the subject area and 2) to offer a meeting place for a large number of Eastern European algebraists and their colleagues from around the world. Particular emphasis was placed on recent developments in the following four areas: representation theory, group algebras, PI algebras, and general ring theory. This book presents 13 of the invited lectures. Trends in Ring Theory......Page 1 Contents......Page 6 Preface......Page 8 List of invited lectures......Page 9 List of contributed talks......Page 11 List of participants......Page 19 Bavula: Filter dimension and its application......Page 34 Drensky: Automorphisms of polynomial, free and generic matrix algebras......Page 46 Gabriel: Matrix problems and representation-theory......Page 60 Goodearl and Letzter: Prime and primitive spectra of multiparameter quantum affine spaces......Page 72 Kemer: PI-algebras and nil algebras of bounded index......Page 92 Lenzing: Representations of finite dimensional algebras and singularity theory......Page 103 Marciniak and Sehgal: Zassenhaus conjectures for infinite groups......Page 130 Okniński: Graded rings - an approach via semigroups of matrices......Page 143 Passman: Semiprimitivity of group algebras: past results and recent progress......Page 157 Regev: Asymptotics of codimensions of some P.I. algebras......Page 188 Roggenkamp: Problems on group rings......Page 202 Skowroński: Tame module categories of finite dimensional algebras......Page 216 Zalesskii: Direct limits of finite dimensional algebras and finite groups......Page 249 Filter Dimension And Its Application / Vladimir V. Bavula -- Automorphisms Of Polynomial, Free And Generic Matrix Algebras / Vesselin Drensky -- Matrix Problems And Representation-theory / Peter Gabriel -- Prime And Primitive Spectra Of Multiparameter Quantum Affine Spaces / K.r. Goodearl And E.s. Letzter -- Pi-algebras And Nil Algebras Of Bounded Index / Alexander Kemer -- Representations Of Finite Dimensional Algebras And Singularity Theory / Helmut Lenzing -- Zassenhaus Conjectures For Infinite Groups / Zbigniew S. Marciniak And Sudarshan K. Sehgal -- Graded Rings -- An Approach Via Semigroups Of Matrices / Jan Okninski -- Semiprimitivity Of Group Algebras: Past Results And Recent Progress / Donald S. Passman. Vlastimil Dlab And László Márki, Editors. Includes Bibliographical References.