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by Roger Wiegand,Graham J. Leuschke

Author: Roger Wiegand,Graham J. Leuschke
Subcategory: Mathematics
Language: English
Publisher: American Mathematical Society (May 2, 2012)
Pages: 367 pages
Category: Math and Science
Rating: 4.6
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This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras

This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras. Two introductory chapters treat the Krull-Remak-Schmidt Theorem on uniqueness of direct-sum decompositions and its failure for modules over local rings. Chapters 3-10 study the central problem of classifying the rings with only finitely many indecomposable MCM modules up to isomorphism, . rings of finite CM type.

Электронная книга "Cohen-Macaulay Representations", Graham J. Leuschke, Roger Wiegand. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Cohen-Macaulay Representations" для чтения в офлайн-режиме.

Main Cohen-Macaulay Representations. Cohen-Macaulay Representations. Graham J.

Cohen-Macaulay representations. Mathematical surveys and monographs. GJ Leuschke, R Wiegand. Algebras and representation theory 8 (2), 225-238, 2005. American Mathematical So. 2012. Local rings of bounded Cohen–Macaulay type. Local rings of countable Cohen-Macaulay type. C Huneke, GJ Leuschke. Proceedings of the American Mathematical Society 131 (10), 3003-3008, 2003.

Cohen-Macaulay Representations (Mathematical Surveys and Monographs). by Graham J. ISBN 9780821875810 (978-0-8218-7581-0) Hardcover, American Mathematical Society, 2012. Find signed collectible books: 'Cohen-Macaulay Representations (Mathematical Surveys and Monographs)'. by Srikanth Iyengar, Graham J. Leuschke, Anton Leykin, Claudia Miller, Ezra Miller. ISBN 9780821841266 (978-0-8218-4126-6) Hardcover, American Mathematical Society, 2007.

Graham Leuschke's and my book Cohen-Macaulay Representations appeared in 2012, in the American Mathematical Society's Surveys and Monographs series. I enjoy rock climbing and mountaineering (as you might guess from the photo). Check out some more pictures taken on an ascent of the Longs Peak Diamond during the summer of 2000. And here are some more recent pictures of some climbing in Provence, in March, 2009.

Leuschke, Graham . 1973– Cohen-Macaulay representations, Graham J. p. cm. - (Mathematical surveys and monographs ; v. 181) Includes bibliographical references and index. ISBN 978-0-8218-7581-0 (alk. paper) 1. Cohen-Macaulay modules. 2. Representations of rings (Algebra) I. Wiegand, Roger, 1943–.

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems. The series has been known as Mathematical Surveys and Monographs since 1984. Its ISSN is 0885-4653. The series was founded in 1943 as 'Mathematical Surveys'. This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularit. More).

Cohen-Macaulay Representations book.

This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras. Two introductory chapters treat the Krull-Remak-Schmidt Theorem on uniqueness of direct-sum decompositions and its failure for modules over local rings. Chapters 3-10 study the central problem of classifying the rings with only finitely many indecomposable MCM modules up to isomorphism, i.e., rings of finite CM type. The fundamental material--ADE/simple singularities, the double branched cover, Auslander-Reiten theory, and the Brauer-Thrall conjectures--is covered clearly and completely. Much of the content has never before appeared in book form. Examples include the representation theory of Artinian pairs and Burban-Drozd's related construction in dimension two, an introduction to the McKay correspondence from the point of view of maximal Cohen-Macaulay modules, Auslander-Buchweitz's MCM approximation theory, and a careful treatment of nonzero characteristic. The remaining seven chapters present results on bounded and countable CM type and on the representation theory of totally reflexive modules.