Non-Abelian Homological Algebra and Its Applications by Hvedri InassaridzeNon-Abelian Homological Algebra and Its Applications by Hvedri Inassaridze

Non-Abelian Homological Algebra and Its Applications

byHvedri Inassaridze

Paperback | December 9, 2010

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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.
Title:Non-Abelian Homological Algebra and Its ApplicationsFormat:PaperbackDimensions:271 pages, 9.25 × 6.1 × 0 inPublished:December 9, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148995

ISBN - 13:9789048148998

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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.