On left P-Ehresmann and right Ehresmann semigroups: A-semidirect products and Zappa-Szép products

被引：0
|
作者：
Baddi-Ul-Zaman [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2024年 / 53卷 / 04期
关键词：
generalized Green's relations; left P-Ehresmann semigroup; right Ehresmann semigroup; Zappa-Sz & eacute; p product; RESTRICTION SEMIGROUPS; EXTENSIONS; CATEGORIES;
D O I：
10.15672/hujms.1189391
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the ,\-semidirect product M x W of a left P-Ehresmann semigroup M and a left restriction semigroup W is a left P-Ehresmann semigroup. We explore the behavior of generalized Green's relations on M W, and investigate some properties of M x W. Then the Zappa-Sz & eacute;p product of a right Ehresmann semigroup and its distinguished semilattice is studied. An example of Zappa-Sz & eacute;p product in the context of right Ehresmann semigroups is also given.
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页码：1039 / 1059
页数：21
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