Non-Abelian Homological Algebra and Its Applications
By: by Hvedri Inassaridze
Series: Mathematics and Its Applications -- 421; Mathematics and Its Applications -- 421
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 266
ISBN-13: 9789048148998; 9789401588539
Subjects: Geometry, algebraic; Mathematics; K-theory; Algebraic topology; Algebra
Description: 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.
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