Rings and Categories of Modules
Springer (Publisher)
2nd Edition
Published in September 1992
Book
Hardback
X, 376 pages
978-3-540-97845-9 (ISBN)
Description
This is a self-contained account of much of the theory of rings and modules. The theme of the text is the relationship between the one-sided ideal structure a ring may possess and the behaviour of its categories of modules. Following a brief outline of the foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms. The remainder of the text gives comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, decomposition theory, and semiperfect and perfect rings. This second edition includes a chapter containing many of the classical results on Artinian rings that have helped form the foundation for much of contemporary research on the representation theory of Artinian rings and finite-dimensional algebras.
More details
Series
Edition
2., ed.
Language
English
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 216 mm
Width: 138 mm
Weight
695 gr
ISBN-13
978-3-540-97845-9 (9783540978459)
Schweitzer Classification