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Nov 18, 2022 at 13:36 comment added Yemon Choi Since the OP has chosen not to update the terminology: the traditional notation in Hochschild cohomology for ${\rm Der}^n_R(S, -)$ is $Z^n_R(S,-)$, and elements of this space have been known for 80 years as cocycles not "higher derivations"
Nov 16, 2022 at 22:19 vote accept Emily
Nov 16, 2022 at 22:12 history edited Martin Brandenburg CC BY-SA 4.0
added 91 characters in body
Nov 16, 2022 at 22:05 history answered Martin Brandenburg CC BY-SA 4.0