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Homological Algebra Books

This section contains free e-books and guides on Homological Algebra, some of the resources in this section can be viewed online and some of them can be downloaded.

Categories and Homological Algebra

This course note introduces the reader to the language of categories and to present the basic notions of homological algebra, first from an elementary point of view, with the notion of derived functors, next with a more sophisticated approach, with the introduction of triangulated and derived categories.

Author(s):

s 125Pages

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):

s 85Pages

Homological Algebra

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):

s 47Pages

Projective Geometry and Homological Algebra

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Gorenstein Rings and Modules

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Abstract and Concrete Categories The Joy of Cats

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Abelian Categories

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages