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Eurasian Mathematical Journal, 2020, Volume 11, Number 2, Pages 9–18
DOI: https://doi.org/10.32523/2077-9879-2020-11-2-09-18 (Mi emj361) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Derivations in semigroup algebras

A. V. Alekseeva, A. A. Arutyunovb

a V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St, Moscow, Russian Federation
b Department of Mathematics, Moscow Institute of Physics and Technology, 9 Institutskiy Pereulok, Dolgoprudny, Moscow region, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2020-11-2-09-18
Abstract: The main goal of this paper is to describe derivations in semigroup algebras, where the semigroup satisfies the Maltsev conditions. We prove that the derivation algebra of such semigroup algebra is embedded into the derivation algebra of some group. In addition, we describe the so-called quasi-inner derivations as an ideal in a derivation algebra, which is useful for the further study of differentiations in semigroup algebras.
Keywords and phrases: group theory, category theory, derivations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-2364.2020.1
Ministry of Science and Higher Education of the Russian Federation 075-00337-20-03, project no. 0714-2020-0005
Russian Science Foundation 20-11-20131
The second author was supported the Grants Council of the President of the Russian Federation, project no. MK-2364.2020.1. The results in Section 2.5 were obtained by the second author under the support of the Ministry of Science and Higher Education of the Russian Federation (Goszadaniye 075-00337-20-03, project no. 0714-2020-0005). The results in Section 2.2 were obtained by the first author with the support of the Russian Science Foundation (grant no. 20-11-20131) in V.A. Trapeznikov Institute of Control Sciences of RAS).
Received: 10.03.2019
Bibliographic databases:
Document Type: Article
MSC: 34A55, 34B05, 58C40
Language: English
Citation: A. V. Alekseev, A. A. Arutyunov, “Derivations in semigroup algebras”, Eurasian Math. J., 11:2 (2020), 9–18
Citation in format AMSBIB
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\by A.~V.~Alekseev, A.~A.~Arutyunov
\paper Derivations in semigroup algebras
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 2
\pages 9--18
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