Quasi-ideal Ehresmann transversals: The spined product structure

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...

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Autores principales:	Kong Xiangjun, Wang Pei, Tang Jian
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	u-abundant semigroup ehresmann transversal green’s∼-relations quasi-ideal spined product 20m10 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/ff23030e4c784a018560449164a267bb
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spelling	oai:doaj.org-article:ff23030e4c784a018560449164a267bb2021-12-05T14:10:52ZQuasi-ideal Ehresmann transversals: The spined product structure2391-545510.1515/math-2020-0071https://doaj.org/article/ff23030e4c784a018560449164a267bb2021-04-01T00:00:00Zhttps://doi.org/10.1515/math-2020-0071https://doaj.org/toc/2391-5455In 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.Kong XiangjunWang PeiTang JianDe Gruyterarticleu-abundant semigroupehresmann transversalgreen’s∼-relationsquasi-idealspined product20m10MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 77-86 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	u-abundant semigroup ehresmann transversal green’s∼-relations quasi-ideal spined product 20m10 Mathematics QA1-939
spellingShingle	u-abundant semigroup ehresmann transversal green’s∼-relations quasi-ideal spined product 20m10 Mathematics QA1-939 Kong Xiangjun Wang Pei Tang Jian Quasi-ideal Ehresmann transversals: The spined product structure
description	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.
format	article
author	Kong Xiangjun Wang Pei Tang Jian
author_facet	Kong Xiangjun Wang Pei Tang Jian
author_sort	Kong Xiangjun
title	Quasi-ideal Ehresmann transversals: The spined product structure
title_short	Quasi-ideal Ehresmann transversals: The spined product structure
title_full	Quasi-ideal Ehresmann transversals: The spined product structure
title_fullStr	Quasi-ideal Ehresmann transversals: The spined product structure
title_full_unstemmed	Quasi-ideal Ehresmann transversals: The spined product structure
title_sort	quasi-ideal ehresmann transversals: the spined product structure
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/ff23030e4c784a018560449164a267bb
work_keys_str_mv	AT kongxiangjun quasiidealehresmanntransversalsthespinedproductstructure AT wangpei quasiidealehresmanntransversalsthespinedproductstructure AT tangjian quasiidealehresmanntransversalsthespinedproductstructure
_version_	1718371657999974400

Quasi-ideal Ehresmann transversals: The spined product structure

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