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Introduction to Homological Algebra

Introduction to Homological Algebra - 95 edition

ISBN13: 978-0521559874

Cover of Introduction to Homological Algebra 95 (ISBN 978-0521559874)
ISBN13: 978-0521559874
ISBN10: 0521559871
Cover type:
Edition/Copyright: 95
Publisher: Cambridge University Press
Published: 1995
International: No
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Introduction to Homological Algebra - 95 edition

ISBN13: 978-0521559874

Charles A. Weibel

ISBN13: 978-0521559874
ISBN10: 0521559871
Cover type:
Edition/Copyright: 95
Publisher: Cambridge University Press

Published: 1995
International: No
Summary

The landscape of homological algebra has evolved over the past 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 is also described. 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.

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