Book rings and categories of modules pdf free download

Has lots of nice material Hardcover

Rings and Categories of Modules (Graduate Texts in Mathematics, 13) By Frank W. Anderson

0387978453

9780387978451

English

388

Hardcover

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This book is intended to provide a reasonably self contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and advanced graduate courses We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses Our general approach is categorical rather than arithmetical The continuing theme of the text is the study of the relationship between the one sided ideal structure that a ring may possess and the behavior of its categories of modules Following a brief outline of set theoretic and categorical foundations.

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great book on rings and modules referenced in plenty of papers on algebra and functional analysis nice problems and text is fairly readable the text begins with the basic definitions and properties of rings modules and homomorphisms and ranges through comprehensive treatments of direct sums finiteness conditions the Wedderburn Artin Theorem the Jacobson radical the hom and tensor functions Morita equivalence and duality de composition theory of injective and projective modules and semi perfect and perfect rings In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty There are of course many important areas of ring and module theory that the text does not touch upon Rings and Categories of Modules Graduate Texts in Mathematics 13.