Non-Commutative Ring Theory: Proceedings of a Conference held in Athens, Ohio Sept. 29–30, 1989

Goro Azumaya (auth.), Surender Kumar Jain, Sergio R. López-Permouth (eds.)9780387531649, 0387531645

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.

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Table of contents :
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