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Algebra i logika, 2019, Volume 58, Number 1, Pages 52–68
DOI: https://doi.org/10.33048/alglog.2019.58.104 (Mi al881) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Hochschild cohomologies of the associative conformal algebra $\mathrm{Cend}_{1,x}$

R. A. Kozlovab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (236 kB) Citations (6)
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DOI: https://doi.org/10.33048/alglog.2019.58.104
Abstract: 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.
Keywords: associative conformal algebra, split-off radical, Hochshild cohomologies.
Received: 05.10.2017
Revised: 07.05.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 1, Pages 36–47
DOI: https://doi.org/10.1007/s10469-019-09523-5
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: R. A. Kozlov, “Hochschild cohomologies of the associative conformal algebra $\mathrm{Cend}_{1,x}$”, Algebra Logika, 58:1 (2019), 52–68; Algebra and Logic, 58:1 (2019), 36–47
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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