Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose origins...
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This is a list of homological algebra topics, by Wikipedia page. Cokernel Exact sequence Chain complex Differential module Five lemma Short five lemma...
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In homological algebra, a monad is a 3-term complex A → B → C of objects in some abelian category whose middle term B is projective, whose first map A → B...
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In mathematics, homological conjectures have been a focus of research activity in commutative algebra since the early 1960s. They concern a number of...
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Spectral sequence (redirect from Homological spectral sequence)
In homological algebra and algebraic topology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral...
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In mathematics, and more specifically in homological algebra, a resolution (or left resolution; dually a coresolution or right resolution) is an exact...
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in homological algebra, a differential graded algebra is a graded associative algebra with an added chain complex structure that respects the algebra structure...
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right R-module M. The concept of torsion plays an important role in homological algebra. If M and N are two modules over a commutative domain R (for example...
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Alexander Grothendieck (category Algebraic geometers)
of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory...
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algebra homology. The exterior algebra is the main ingredient in the construction of the Koszul complex, a fundamental object in homological algebra....
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