Rings and categories of modules
2nd ed.
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Contributions
- Fuller, Kent R. - Contributor
Publication
1992 - Springer-Verlag, New York, New York (State)
Language
English
Word Count
94,000 words, Guess
Page Count
376 pages
Identifiers
- Open LibraryOL1708446M
- ISBN-100387978453
- OCLC Control Number25632102
- OCLC Control Numberringscategoriesm00ande
- Library of Congress Control Number92010019
and 2 more
- LibraryThing7474586
- Goodreads2074932
Classifications
- DDC512/.4
- LCCQA247 .A55 1992
- LCCQA150-272
Description
This book is intended to provide a self-contained account of much of the theory of rings and modules. The theme of the text throughout is the relationship between the one-sided ideal structure a ring may possess and the behavior 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.
Series Statement
- Graduate texts in mathematics ;
- 13
Other Editions
- Rings and categories of modules
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