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TitleNon-Commutative Ring Theory [electronic resource] : Proceedings of a Conference held in Athens, Ohio Sept. 29-30, 1989 / edited by Surender Kumar Jain, Sergio R. Lรณpez-Permouth
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1990
Connect tohttp://dx.doi.org/10.1007/BFb0091244
Descript VI, 168 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Algebra Mathematics Algebra



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