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Algebra V: Homological Algebra

Algebra V: Homological Algebra
Catalogue Information
Field name Details
Dewey Class 512.66
Title Algebra V ([EBook]) : Homological Algebra / edited by A. I. Kostrikin, I. R. Shafarevich.
Added Personal Name Kostrikin, Aleksei Ivanovic
Shafarevich, Igor R.(Igor Rostislavovich) , 1923-2017
Šafarevič, Igor Rostislavovič
, 1923-2017
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1994.
Physical Details V, 222 pages : online resource.
Series Encyclopaedia of mathematical sciences 0938-0396 ; ; 38
ISBN 9783642579110
Summary Note 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.:
Contents note 1. Complexes and Cohomology -- 2. The Language of Categories -- 3. Homology Groups in Algebra and in Geometry -- 4. Derived Categories and Derived Functors -- 5. Triangulated Categories -- 6. Mixed Hodge Structures -- 7. Perverse Sheaves -- 8. D-Modules -- References -- Author Index.
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