Hochschild cohomologies of the associative conformal algebra \(\mathrm{Cend}_{1 ,x }\). (English. Russian original) Zbl 1428.16011
Algebra Logic 58, No. 1, 36-47 (2019); translation from Algebra Logika 58, No. 1, 52-68 (2019).
Summary: It is stated that the second Hochshild cohomology group of the associative conformal algebra \(\mathrm{Cend}_{1,x}\) with values in any bimodule is trivial. Consequently, the given algebra splits off in every extension with nilpotent kernel.
MSC:
| 16E40 | (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) |
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