1.

Record Nr.

UNISA996466581303316

Titolo

Non-commutative ring theory : proceedings of a conference held in Athens, Ohio, Sept. 29-30, 1989 / / S. K. Jain, S. R. López-Permouth, editors

Pubbl/distr/stampa

Berlin : , : Springer-Verlag, , [1990]

©1990

ISBN

3-540-46745-9

Edizione

[1st ed. 1990.]

Descrizione fisica

1 online resource (VI, 168 p.)

Collana

Lecture notes in mathematics (Springer-Verlag) ; ; 1448

Classificazione

16-06

Disciplina

512.4

Soggetti

Noncommutative rings

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.