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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
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 …
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 …