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Threading Homology through Algebra

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Threading Homology through Algebra by Giandomenico Boffi
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Threading Homology through Algebra takes homological themes (Koszul complexes and their variations, resolutions in general) and shows how these affect the perception of certain problems in selected parts of algebra, as well as their success in solving a number of them. The text deals with regular local rings, depth-sensitive complexes, finite free resolutions, letter-place algebra, Schur and Weyl modules, Weyl-Schur complexes and determinantal ideals. Aimedat graduates and academics in mathematics, the book provides an overview of the developments that have taken place in these areas as well as an insight into some of the open problems which exist.
Clarendon Press; June 2006
268 pages; ISBN 9780191513640
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Title: Threading Homology through Algebra
Author: Giandomenico Boffi; David Buchsbaum