Non-Abelian Homological Algebra and Its Applications
Book information
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.
Similar books
Institution-independent Model Theory
2025 · PDF
Category Theory and Applications: A Textbook for Beginners
2018 · PDF
An Introduction To Category Theory In Four Easy Movements
Relative Category Theory and Geometric Morphisms: A Logical Approach (Oxford Logic Guides)
1992 · PDF
Introduction to the Theory of Categories and Functors (Pure & Applied Mathematics Monograph)
1968 · PDF
Introduction to the Theory of Categories and Functors (Pure & Applied Mathematics Monograph)
1968 · DJVU
Algebra: Chapter 0
2009 · PDF
線型代数対話 第2巻 モノイドの線型代数 モノイダル構造から行列計算へ
2022 · PDF