Non-Commutative Ring Theory: Proceedings of a Conference held in Athens, Ohio, Sept. 29-30, 1989 (Lecture Notes in Mathematics, 1448)

The papers of this volume share as a common goal the structure and classi- fication of noncommutative rings and their modules, and deal with topics of current research including: localization, serial rings, perfect endomorphism rings, quantum groups, Morita contexts, generalizations of injectivitiy, and Cartan matrices. Locally split submodules and modules with perfect endomorphism rings....Pages 1-6 Modules with regular, perfect, noetherian or artinian endomorphism rings....Pages 7-18 Azumaya rings and Maschke's Theorem....Pages 19-24 Uniform modules over serial rings II....Pages 25-32 Links between prime ideals of a serial ring with Krull dimension....Pages 33-40 Semiprime modules and rings....Pages 41-62 Primitive ideals of nice Ore localizations....Pages 63-71 Filtered cartan matrices for artinian rings of low Loewy length....Pages 72-79 Morita contexts....Pages 80-92 On the weak relative-injectivity of rings and modules....Pages 93-98 CS-modules and weak CS-modules....Pages 99-115 On continuous and singular modules....Pages 116-124 Permutation identity rings and the medial radical....Pages 125-138 Quantum groups, filtered rings and Gelfand-Kirillov dimension....Pages 139-147 Ore localization in the first Weyl algebra....Pages 148-154 Ring-theoretical aspects of the Bernstein-Beilinson theorem....Pages 155-163 S.k. Jain, S.r. López-permouth, Eds. Proceedings Of The Midwest Non-commutative Ring Theory Conference, Held At Ohio University. Includes Bibliographical References.