Non-Abelian Homological Algebra and Its Applications / Edition 1

Non-Abelian Homological Algebra and Its Applications / Edition 1

by Hvedri Inassaridze
     
 

ISBN-10: 0792347188

ISBN-13: 9780792347187

Pub. Date: 10/31/1997

Publisher: Springer Netherlands

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

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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.

Product Details

ISBN-13:
9780792347187
Publisher:
Springer Netherlands
Publication date:
10/31/1997
Series:
Mathematics and Its Applications (closed) Series, #421
Edition description:
1997
Pages:
266
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Introduction. 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 and Cohomology of Groups. References.

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