Quasi-ideal Ehresmann transversals: The spined product structure-Reference-Cited by-同舟云学术

Quasi-ideal Ehresmann transversals: The spined product structure

Published:2021-01-01 Issue:1 Volume:19 Page:77-86
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Kong Xiangjun¹²,Wang Pei³,Tang Jian¹

Affiliation:

1. School of Mathematics and Statistics, Fuyang Normal University , Fuyang , 236037 , People’s Republic of China

2. School of Mathematical Sciences, Qufu Normal University , Qufu , 273165 , People’s Republic of China

3. School of Cyber Science and Engineering, Qufu Normal University , Qufu , 273165 , People’s Republic of China

Abstract

Abstract In any U-abundant semigroup with an Ehresmann transversal, two significant components R and L are introduced in this paper and described by Green’s

∼

\sim

-relations. Some interesting properties associated with R and L are explored and some equivalent conditions for the Ehresmann transversal to be a quasi-ideal are acquired. Finally, a spined product structure theorem is established for a U-abundant semigroup with a quasi-ideal Ehresmann transversal by means of R and L.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0071/pdf

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