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.
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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Inhaltsangabe
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.
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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