Non-commutative ring theory : proceedings of a conference held in Athens, Ohio, Sept. 29-30, 1989

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Bibliographic Information

Non-commutative ring theory : proceedings of a conference held in Athens, Ohio, Sept. 29-30, 1989

S.K. Jain, S.R. López-Permouth (eds.)

（Lecture notes in mathematics, 1448）

Springer-Verlag, c1990

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  • : us

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Non-commutative ring theory

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Proceedings of the Midwest Non-commutative Ring Theory Conference, held at Ohio University

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

Locally split submodules and modules with perfect endomorphism rings.- Modules with regular, perfect, noetherian or artinian endomorphism rings.- Azumaya rings and Maschke's Theorem.- Uniform modules over serial rings II.- Links between prime ideals of a serial ring with Krull dimension.- Semiprime modules and rings.- Primitive ideals of nice Ore localizations.- Filtered cartan matrices for artinian rings of low Loewy length.- Morita contexts.- On the weak relative-injectivity of rings and modules.- CS-modules and weak CS-modules.- On continuous and singular modules.- Permutation identity rings and the medial radical.- Quantum groups, filtered rings and Gelfand-Kirillov dimension.- Ore localization in the first Weyl algebra.- Ring-theoretical aspects of the Bernstein-Beilinson theorem.

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