Threading Homology Through Algebra: Selected PatternsThreading 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.
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Threading Homology Through Algebra: Selected Patterns