Non-Commutative Ring Theory
Non-Commutative Ring Theory Proceedings of a Conference held in Athens, Ohio Sept. 29–30, 1989 / [electronic resource] :
edited by Surender Kumar Jain, Sergio R. López-Permouth.
- VI, 168 p. online resource.
- Lecture Notes in Mathematics, 1448 0075-8434 ; .
- Lecture Notes in Mathematics, 1448 .
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.
9783540467458
10.1007/BFb0091244 doi
Algebra.
Algebra.
QA150-272
512
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.
9783540467458
10.1007/BFb0091244 doi
Algebra.
Algebra.
QA150-272
512