Keywords

#hochschild_homology

Hochschild homology

Theory for associative algebras over rings

In mathematics, Hochschild homology (and cohomology) is a homology theory for associative algebras over rings. There is also a theory for Hochschild homology of certain functors. Hochschild cohomology was introduced by Gerhard Hochschild (1945) for algebras over a field, and extended to algebras over more general rings by Henri Cartan and Samuel Eilenberg (1956).

Wed 8th

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Hochschild homology Topological Hochschild homology Cyclic homology Homology (mathematics) Hochschild K-theory of a category Algebraic K-theory THH Hodge–de Rham spectral sequence Spectrum (topology)
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