An Introduction to Homological Algebra

Rotman Joseph J.

ISBN 10: 0125992505 / ISBN 13: 9780125992503

Editore: Elsevier, 1979

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pp. 392.

Codice articolo 18522177

Dati bibliografici

• Titolo: An Introduction to Homological Algebra
• Editore: Elsevier
• Data di pubblicazione: 1979
• Lingua: Inglese
• ISBN 10: 0125992505
• ISBN 13: 9780125992503
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

With a wealth of examples as well as abundant applications to Algebra, this is a must-read work: a clearly written, easy-to-follow guide to Homological Algebra. The author provides a treatment of Homological Algebra which approaches the subject in terms of its origins in algebraic topology. In this brand new edition the text has been fully updated and revised throughout and new material on sheaves and abelian categories has been added.
Learning Homological Algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language: that of spectral sequences. The basic properties of spectral sequences are developed using exact couples. All is done in the context of bicomplexes, for almost all applications of spectral sequences involve indices. Applications include Grothendieck spectral sequences, change of rings, Lyndon-Hochschild-Serre sequence, and theorems of Leray and Cartan computing sheaf cohomology.

Informazioni sull?autore

Joseph Rotman is Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign.