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Representation theory of Artin algebras

Auslander, Maurice.

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Representation theory of Artin algebras

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Representation theory of Artin algebras/ Maurice Auslander, Idun Reiten and Sverre O. Smalo.
作者:	Auslander, Maurice.
其他作者:	Reiten, Idun,
出版者:	Cambridge :Cambridge University Press, : 1995.,
面頁冊數:	xiv, 423 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Artin rings. -
電子資源:	https://doi.org/10.1017/CBO9780511623608
ISBN:	9780511623608

Representation theory of Artin algebras
Auslander, Maurice.

Representation theory of Artin algebras[electronic resource] /Maurice Auslander, Idun Reiten and Sverre O. Smalo. - Cambridge :Cambridge University Press,1995. - xiv, 423 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;36. - Cambridge studies in advanced mathematics ;36..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises.

ISBN: 9780511623608Subjects--Topical Terms:

668045
Artin rings.

LC Class. No.: QA251.5 / .A87 1995

Dewey Class. No.: 512.4

Representation theory of Artin algebras
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245 1 0 $a Representation theory of Artin algebras $h [electronic resource] / $c Maurice Auslander, Idun Reiten and Sverre O. Smalo.
260 $a Cambridge : $b Cambridge University Press, $c 1995.
300 $a xiv, 423 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 36
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises.
650 0 $a Artin rings. $3 668045
650 0 $a Artin algebras. $3 668044
650 0 $a Representations of algebras. $3 572480
700 1 $a Reiten, Idun, $d 1942- $3 668041
700 1 $a Smalo, Sverre O. $3 668042
830 0 $a Cambridge studies in advanced mathematics ; $v 36. $3 3470645
856 4 0 $u https://doi.org/10.1017/CBO9780511623608