Hybrid ideals in semigroups

The notions of hybrid subsemigroups and hybrid left (resp., right) ideals in semigroups are introduced, and several properties are investigated. Using these notions, characterizations of subsemigroups and left (resp., right) ideals are discussed. The concept of hybrid product is also introduced, and...

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Main Authors: Saima Anis, Madad Khan, Young Bae Jun
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2017.1352117
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spelling doaj-17538c5ca6ed4309a4ca33c527a6be542020-11-25T00:28:18ZengTaylor & Francis GroupCogent Mathematics2331-18352017-01-014110.1080/23311835.2017.13521171352117Hybrid ideals in semigroupsSaima Anis0Madad Khan1Young Bae Jun2COMSATS Institute of Information TechnologyCOMSATS Institute of Information TechnologyGyeongsang National UniversityThe notions of hybrid subsemigroups and hybrid left (resp., right) ideals in semigroups are introduced, and several properties are investigated. Using these notions, characterizations of subsemigroups and left (resp., right) ideals are discussed. The concept of hybrid product is also introduced, and characterizations of hybrid subsemigroups and hybrid left (resp., right) ideals are considered by using the notion of hybrid product. Relations between hybrid intersection and hybrid product are displayed.http://dx.doi.org/10.1080/23311835.2017.1352117(characteristicidentity) hybrid structurehybrid subsemigrouphybrid left (resp. right) idealhybrid product
collection DOAJ
language English
format Article
sources DOAJ
author Saima Anis
Madad Khan
Young Bae Jun
spellingShingle Saima Anis
Madad Khan
Young Bae Jun
Hybrid ideals in semigroups
Cogent Mathematics
(characteristic
identity) hybrid structure
hybrid subsemigroup
hybrid left (resp. right) ideal
hybrid product
author_facet Saima Anis
Madad Khan
Young Bae Jun
author_sort Saima Anis
title Hybrid ideals in semigroups
title_short Hybrid ideals in semigroups
title_full Hybrid ideals in semigroups
title_fullStr Hybrid ideals in semigroups
title_full_unstemmed Hybrid ideals in semigroups
title_sort hybrid ideals in semigroups
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2017-01-01
description The notions of hybrid subsemigroups and hybrid left (resp., right) ideals in semigroups are introduced, and several properties are investigated. Using these notions, characterizations of subsemigroups and left (resp., right) ideals are discussed. The concept of hybrid product is also introduced, and characterizations of hybrid subsemigroups and hybrid left (resp., right) ideals are considered by using the notion of hybrid product. Relations between hybrid intersection and hybrid product are displayed.
topic (characteristic
identity) hybrid structure
hybrid subsemigroup
hybrid left (resp. right) ideal
hybrid product
url http://dx.doi.org/10.1080/23311835.2017.1352117
work_keys_str_mv AT saimaanis hybrididealsinsemigroups
AT madadkhan hybrididealsinsemigroups
AT youngbaejun hybrididealsinsemigroups
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