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Non-Commutative Ring Theory [electronic resource] : Proceedings of a Conference held in Athens, Ohio Sept. 29–30, 1989 / edited by Surender Kumar Jain, Sergio R. López-Permouth.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1448Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990Description: VI, 168 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540467458
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 512 23
LOC classification:
  • QA150-272
Online resources:
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.
In: Springer eBooksSummary: 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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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.

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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