K-theory and Homological Algebra: A Seminar held at the Razmadze Mathematical Institute in Tbilisi, Georgia, USSR 1987–88

Tamar Datuashvili (auth.), Hvedri Inassaridze (eds.)3540528369, 9783540528364, 0387528369

Contents:T. Datuashvili: Homological dimension of extensions of abelian categories and rings.- J. Gubeladze: Classical algebraic K-theory of monoid algebras.- H. Inassaridze: K-theory of special normed rings.- G. Janelidze: Cohomology and extensions of internal modules.- M. Jibladze: Coefficients for cohomology of “large” categories.- T. Kandelaki: K-theory of Z2-graded Banach categories.- D. Pataraia: On Quillen’s plus construction of perfect groups.- T. Pirashvili: Cohomology of small categories in homotopical algebra.- M. Uridia: U-theory of exact categories.

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Table of contents :
Homological dimension of extensions of abelian categories and rings….Pages 1-35
Classical algebraic K-theory of monid algebras….Pages 36-94
K-theory of special normed rings….Pages 95-156
Cohomology and extensions of internal modules….Pages 157-168
Coefficients for cohomology of “large” categories….Pages 169-179
K-theory of ℤ 2 -graded Banach categories. I….Pages 180-221
On Quillen’s + construction of perfect groups….Pages 222-267
Cohomology of small categories in homotopical algebra….Pages 268-302
U-theory of exact categories….Pages 303-313