DERIVATIONS IN SEMIGROUP ALGEBRAS

被引：2
|
作者：
Alekseev, A., V [1 ]
Arutyunov, A. A. [2 ]
机构：
[1] Russian Acad Sci, VA Trapeznikov Inst Control Sci, 65 Profsoyuznaya St, Moscow, Russia
[2] Moscow Inst Phys & Technol, Dept Math, 9 Inst Skiy Pereulok, Dolgoprudnyi, Moscow Region, Russia
来源：
EURASIAN MATHEMATICAL JOURNAL | 2020年 / 11卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
group theory; category theory; derivations;
D O I：
10.32523/2077-9879-2020-11-2-09-18
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：9 / 18
页数：10
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