Homological Algebra

Homological Algebra

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This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.Unfortunately, now we do not have a satisfactory way to fix the axioms. One of the possible approaches to improve thesituation in this and similar cases can be described as follows. In trying to make some construction (for example, the cone) anbsp;...

Title:Homological Algebra
Author:A.I. Kostrikin, I.R. Shafarevich
Publisher:Springer Science & Business Media - 1994-03-29


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