The Ring Theory Conference (University of Miskolc, Hungary) successfully accomplished its two goals: to reflect contemporary trends in the subject area and 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.
Filter dimension and its application by V. V. Bavula Automorphisms of polynomial, free and generic matrix algebras by V. Drensky Matrix problems and representation-theory by P. Gabriel Prime and primitive spectra of multiparameter quantum affine spaces by K. R. Goodearl and E. S. Letzter $PI$-algebras and nil algebras of bounded index by A. Kemer Representations of finite dimensional algebras and singularity theory by H. Lenzing Zassenhaus conjectures for infinite groups by Z. S. Marciniak and S. K. Sehgal Graded rings - an approach via semigroups of matrices by J. Okninski Semiprimitivity of group algebras: Past results and recent progress by D. S. Passman Asymptotics of codimensions of some P.I. algebras by A. Regev Problems on group rings by K. W. Roggenkamp Tame module categories of finite dimensional algebras by A. Skowronski Direct limits of finite dimensional algebras and finite groups by A. E. Zalesskii.