Non-Abelian Homological Algebra and Its Applications
Author:   Hvedri Inassaridze
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   421
ISBN:  

9789048148998


Pages:   266
Publication Date:   09 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Non-Abelian Homological Algebra and Its Applications


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Overview

This book exposes methods of non-abelian homological algebra, such as the theory of satellites in abstract categories with respect to presheaves of categories and the theory of non-abelian derived functors of group valued functors. Applications to K-theory, bivariant K-theory and non-abelian homology of groups are given. The cohomology of algebraic theories and monoids are also investigated. The work is based on the recent work of the researchers at the A. Razmadze Mathematical Institute in Tbilisi, Georgia. Audience: This volume will be of interest to graduate students and researchers whose work involves category theory, homological algebra, algebraic K-theory, associative rings and algebras; algebraic topology, and algebraic geometry.

Full Product Details

Author:   Hvedri Inassaridze
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   421
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048148998


ISBN 10:   9048148995
Pages:   266
Publication Date:   09 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Universal sequences of functors.- 2 Derived functors.- 3 Extensions and cohomology of monoids with coefficients in semimodules.- 4 Cohomology of algebraic theories and MacLane (co)homology of rings.- 5 K-functors.- 6 Non-abelian homology of groups.- References.

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