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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
5
votes
Morita equivalence for *-algebras
Usually I do not want to make to much of advertisement for my own stuff, but here it matches only too well: in a series of papers Henrique Bursztyn and myself developped the theory of Morita equivalen …
5
votes
Relation of the first Hochschild cohomology and the outer automorphism group
Another easy counter-example: take $X = \mathbb{N}$ as discrete topological space and $R = C(X, \mathbb{R})$ as continuous functions on it. These are just all functions. Equivalently, you can view the …
18
votes
Clifford algebras as deformations of exterior algebras
In addition to the answer of Bertram Arnold, let me point out that there is a very explicit formula for "fermionic" Weyl-Moyal product. Let us assume that your vector space $V$ (or module) is defined …