Soft Intersection Semigroups, Ideals and Bi-Ideals: a New Application on Semigroup Theory I

In this paper, we define soft intersection semigroups, soft intersection left (right, two-sided) ideals and bi-ideals of semigroups, give their properties and interrelations and we characterize regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups in terms of these...

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Bibliographic Details
Published in:Filomat 2015-01, Vol.29 (5), p.917-946
Main Authors: Sezer, Aslıhan Sezgin, Çağman, Naim, Atagün, Akın Osman, Ali, Muhammed Irfan, Türkmen, Ergül
Format: Article
Language:English
Subjects:
College mathematics
Eigenfunctions
Mathematical set theory
Property rights
Semigroups
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Summary:In this paper, we define soft intersection semigroups, soft intersection left (right, two-sided) ideals and bi-ideals of semigroups, give their properties and interrelations and we characterize regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups in terms of these ideals.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1505917S