Flows on Classes of Regular Semigroups and Cauchy Categories

We consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauc...

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Main Author:	Suha Ahmed Wazzan
Format:	Article
Language:	English
Published:	Hindawi Limited 2019-01-01
Series:	Journal of Mathematics
Online Access:	http://dx.doi.org/10.1155/2019/8027391

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spelling	doaj-06bbb9071a194898b5cbe45366e056ae2020-11-25T00:40:29ZengHindawi LimitedJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/80273918027391Flows on Classes of Regular Semigroups and Cauchy CategoriesSuha Ahmed Wazzan0Department of Mathematics, Science Faculty, King Abdulaziz University, Girls Campus, 21589 Jeddah, Saudi ArabiaWe consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauchy categories for some classes of regular semigroups such as completely simple semigroups, Brandt semigroups, and rectangular bands. In fact, we obtain a general structure for the flow monoids on Cauchy categories.http://dx.doi.org/10.1155/2019/8027391
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Suha Ahmed Wazzan
spellingShingle	Suha Ahmed Wazzan Flows on Classes of Regular Semigroups and Cauchy Categories Journal of Mathematics
author_facet	Suha Ahmed Wazzan
author_sort	Suha Ahmed Wazzan
title	Flows on Classes of Regular Semigroups and Cauchy Categories
title_short	Flows on Classes of Regular Semigroups and Cauchy Categories
title_full	Flows on Classes of Regular Semigroups and Cauchy Categories
title_fullStr	Flows on Classes of Regular Semigroups and Cauchy Categories
title_full_unstemmed	Flows on Classes of Regular Semigroups and Cauchy Categories
title_sort	flows on classes of regular semigroups and cauchy categories
publisher	Hindawi Limited
series	Journal of Mathematics
issn	2314-4629 2314-4785
publishDate	2019-01-01
description	We consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauchy categories for some classes of regular semigroups such as completely simple semigroups, Brandt semigroups, and rectangular bands. In fact, we obtain a general structure for the flow monoids on Cauchy categories.
url	http://dx.doi.org/10.1155/2019/8027391
work_keys_str_mv	AT suhaahmedwazzan flowsonclassesofregularsemigroupsandcauchycategories
_version_	1725289772208881664

Flows on Classes of Regular Semigroups and Cauchy Categories

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