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A Gentle Introduction to Category Theory The Calculational Approach
A Gentle Introduction to Category Theory The Calculational Approach
Abelian Categories
Abelian Categories
A Course in Homological Algebra
This classic book provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applications and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field.
Homological Algebra of Semimodules and Semicontramodules: Semiinfinite Homological Algebra of Associative Algebraic Structures
his is a monograph in semiinfinite homological algebra, concentrated mostly on the semiinfinite theory of associative algebraic structures, but including also some material on the semiinfinite homology and cohomology of Lie algebras and topological groups. The main objects of study are the doublesided derived functors SemiExt and SemiTor, and the phenomenon of comodulecontramodule correspondence, connecting them with the more conventional, onesided 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 semiinfinite model category structures and the relative nohomogeneous Koszul duality.
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