Hochschild Homology
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 Cartan & Eilenberg (1956).
Read more about Hochschild Homology: Definition of Hochschild Homology of Algebras, Hochschild Homology of Functors
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—Arlie Hochschild (20th century)