Closed and saturated varieties of semigroups

被引：4
|
作者：
Ahanger, S. A. [1 ]
Nabi, M. [1 ]
Shah, A. H. [1 ]
机构：
[1] Cent Univ Kashmir, Dept Math, Ganderbal 191201, India
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 01期
关键词：
Bands; closed; dominions; epimorphisms; saturated; zigzag; EPIMORPHISMS;
D O I：
10.1080/00927872.2022.2095565
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that all subvarieties of the variety of rectangular bands are closed in the variety of all bands. Further, we show that the variety of regular bands is closed. Next, we introduce the varieties of generalized left [right] regular semigroups and show that all such varieties are saturated and, subsequently, epis from generalized left [right] regular semigroups are surjective.
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页码：199 / 213
页数：15
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