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Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras

9 votes
0 answers
260 views

About an algebraic construction of a sheaf of formal microdifferential operators

While reading these notes by Victor Ginzburg on $D$-modules I found a certain construction of Microlocailzation in the algebraic setting which unfortunately doesn't seem to be elaborated on a lot in t …
5 votes
0 answers
264 views

Do almost commutative flat degenerations induce equality in K-theory? (Or: Is the characteri...

I intentionally phrased the title to match a different question which is almost identical to the one i'm asking. However similar, the answer there, which uses commutative algebraic geometry, is not di …
15 votes
4 answers
3k views

Why should the tensor product of $\mathcal{D}_X$-modules over $\mathcal{O}_X$ be a $\mathcal...

Let $R$ be a regular algebra over a field $k$ of char 0. Let $D$ be its corresponding algebra of differential operators. As in the general setting of non-commutative algebra we can tensor right $D$- …