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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
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
Аннотация:
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.
Ключевые слова и фразы:
group theory, category theory, derivations.
Поступила в редакцию: 10.03.2019
Образец цитирования:
A. V. Alekseev, A. A. Arutyunov, “Derivations in semigroup algebras”, Eurasian Math. J., 11:2 (2020), 9–18
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj361 https://www.mathnet.ru/rus/emj/v11/i2/p9
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