Sandwich semigroups and Brandt semigroups

被引：0
作者：
Desiateryk, Oleksandra O. [1 ]
Ganyushkin, Olexandr G. [1 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, Volodymyrska 60, UA-01601 Kiev, Ukraine
来源：
ALGEBRA AND DISCRETE MATHEMATICS | 2024年 / 38卷 / 01期
关键词：
variant; sandwich semigroup; Brandt semigroup; Rees matrix semigroup; VARIANTS;
D O I：
10.12958/adm2222
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a connection between variants of semigroups and Brandt semigroups. We find necessary conditions under which a variant of a semigroup is a Brandt semigroup. For variants of Rees matrix semigroups we studied a structure of a sandwich matrix. We proved that if semigroup does not contain a bicyclic subsemigroup, then any variant of this semigroup is not a Brandt semigroup. Thus a variant of a finite semigroup is not a Brandt semigroup.
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页码：34 / 42
页数：9
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