Non-Commutative Ring Theory

Proceedings of a Conference held in Athens, Ohio, Sept. 29-30, 1989

Surender K. Jain, Sergio R. Lopez-Permouth (Herausgeber)

Buch | Softcover

VI, 168 Seiten

1990 | 1990
Springer Berlin (Verlag)
978-3-540-53164-7 (ISBN)

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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.

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.

Erscheint lt. Verlag	24.10.1990
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VI, 168 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	259 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Algebra • endomorphism ring • Noncommutative algebra • Permutation • Ring Theory
ISBN-10	3-540-53164-5 / 3540531645
ISBN-13	978-3-540-53164-7 / 9783540531647
Zustand	Neuware