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<図書>
Relative homological algebra

責任表示 by Edgar E. Enochs, Overtoun M.G. Jenda
シリーズ De Gruyter expositions in mathematics ; v. 30, 54
データ種別 図書
出版情報 Berlin : Walter de Gruyter , 2000-
本文言語 英語
大きさ v. ; 25 cm
概要 A self-contained treatment of the subject for graduate students, requiring only familiarity with basic notions in module and ring theory. Early chapters give basic tools and notation, deal with torsio... free covers over integral domains, and give information on precovers and covers, and preenvelopes and envelopes. Later chapters introduce the notion of cotorsion theory, explain balance of a functor of two variables, and cover applications to ring theory, including Iwanaga-Gorenstein and Cohen-Macaulay rings. Includes chapter exercises. Author credentials are not given. Annotation copyrighted by Book News, Inc., Portland, OR
Accompanying the second edition of the first volume, originally published in 2000, this second volume concentrates on applying the principles to complexes of modules. Most of these results are already known, say Enochs (U. of Kentucky-Lexington) and Jenda (Auburn U., Alabama), but not easily available in a single place. They cover complexes of modules, short exact sequences of complexes, the category K(R-Mod), co-torsion pairs and triplets in C(R-Mod), adjoint functions, model structures, creating co-torsion pairs, minimal complexes, and Cartan and Eilenberg resolutions. As in the first volume, chapter-end exercises are provided for classrooms or self-study. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
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所蔵情報


alk. paper 理系図3F 数理独自 ENOC/5/1 2000
023212000000985

v. 2 理系図3F 数理独自 ENOC/5/1-2 2011
033212011003660

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Enochs, Edgar E
Jenda, Overtoun M. G
件 名 LCSH:Algebra -- Homological  全ての件名で検索
分 類 LCC:QA169
DC21:512/.55
書誌ID 1001387595
ISBN 311016633X
NCID BA46215392
巻冊次 [v. 1] ; ISBN:311016633X
v. 2 ; ISBN:9783110215229
登録日 2009.11.02
更新日 2011.09.15

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