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May 19 at 9:20 comment added Qwert Otto @VladimirDotsenko I thought that substituting $B^e = A$ and pulling back by $\mathrm{Der}(B)\to \mathrm{Der}(A)$ recovers enough information for my computation, but you're right. I should've taken $A^e/[A^e,A^e]$ for better formulation. Thanks.
May 19 at 8:51 comment added Vladimir Dotsenko I am a bit surprised that you take $A/[A,A]$ as coefficients - at least if you want to imitate the divergence statement, since the conceptually meaningful divergence of a derivation takes values in the commutator quotient of the universal enveloping algebra, not in the commutator quotient of the algebra itself.
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Jan 7 at 15:14 history edited Qwert Otto
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Jan 7 at 14:13 history edited Qwert Otto CC BY-SA 4.0
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Dec 12, 2023 at 2:49 history edited Qwert Otto CC BY-SA 4.0
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Dec 11, 2023 at 10:53 history edited Qwert Otto CC BY-SA 4.0
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Dec 11, 2023 at 10:53 comment added Qwert Otto @YCor Thanks for the comment. Some assumptions are added.
Dec 11, 2023 at 10:27 comment added YCor It's not true for $A=\{0\}$, since the left-hand term is zero and the right-hand term is not (because of $\oplus K$). You might also compare with the case of $M$ with $n$ connected components, which corresponds to $A$ being a product of $n$ indecomposable commutative algebras.
Dec 11, 2023 at 8:49 history asked Qwert Otto CC BY-SA 4.0