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An introduction to homological algebra

Weibel, Charles A., (1950-)

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An introduction to homological algebra

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to homological algebra/ Charles A. Weibel.
作者:	Weibel, Charles A.,
出版者:	Cambridge :Cambridge University Press, : 1994.,
面頁冊數:	xiv, 450 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Algebra, Homological. -
電子資源:	https://doi.org/10.1017/CBO9781139644136
ISBN:	9781139644136

An introduction to homological algebra
Weibel, Charles A.,1950-

An introduction to homological algebra[electronic resource] /Charles A. Weibel. - Cambridge :Cambridge University Press,1994. - xiv, 450 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;38. - Cambridge studies in advanced mathematics ;38..

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

The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.

ISBN: 9781139644136Subjects--Topical Terms:

663850
Algebra, Homological.

LC Class. No.: QA169 / .W45 1994

Dewey Class. No.: 512.55

An introduction to homological algebra
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300 $a xiv, 450 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 38
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.
650 0 $a Algebra, Homological. $3 663850
830 0 $a Cambridge studies in advanced mathematics ; $v 38. $3 3470646
856 4 0 $u https://doi.org/10.1017/CBO9781139644136