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Homological Algebra I (PDF 85P)
Covered topics are: General manipulations of complexes, More on Koszul complexes, General manipulations applied to projective resolutions, Tor, Regular rings, review of Krull dimension, Regular sequences and Tor, Cohen–Macaulay rings and modules, Injective and divisible modules, Injective resolutions, A definition of Ext using injective resolutions, Duality and injective hulls, Gorenstein rings, Bass numbers.
Author(s): Irena Swanson
85 Pages
This note covers the following topics: Reflections , Adjoint functors , Chain complexes, Homology , Homological algebra, First approximation to derived functors, Bar resolutions and the classical theory of derived functors, Double complexes, Long exact sequences, Diagrammatics , The third fundamental lemma, Generators and cogenerators.
Author(s): Mariusz Wodzicki
47 Pages
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NA Pages
Abstract and Concrete Categories The Joy of Cats
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