Homological Algebra of Semimodules and Semicontramodules
This is a monograph in semi-infinite homological algebra, concentrated mostly on the semi-infinite theory of associative algebraic structures, but including also some material on the semi-infinite homology and cohomology of Lie algebras and topological groups. The main objects of study are the double-sided derived functors SemiExt and SemiTor, and the phenomenon of comodule-contramodule correspondence, connecting them with the more conventional, one-sided Ext and CtrTor. Contramodules, introduced originally by Eilenberg and Moore in 1960's but almost forgotten for four decades, play a very prominent role in this book, with many versions of them introduced and discussed. Among other topics considered in the monograph there are the semi-infinite model category structures and the relative nohomogeneous Koszul duality.
363 pages; ISBN 9783034604369
, or download in
Title: Homological Algebra of Semimodules and Semicontramodules
Author: Leonid Positselski
The Foundations of Mathematics 2015 US$ 23.99 416 pages
Alan Turing: The Enigma 2014 US$ 16.95 777 pages