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

dc.contributor.authorSezer, Aslihan Sezgin
dc.contributor.authorCagman, Naim
dc.contributor.authorAtagun, Akin Osman
dc.contributor.authorAli, Muhammed Irfan
dc.contributor.authorTurkmen, Ergul
dc.date.accessioned2019-09-01T13:05:55Z
dc.date.available2019-09-01T13:05:55Z
dc.date.issued2015
dc.identifier.issn0354-5180
dc.identifier.urihttps://dx.doi.org/10.2298/FIL1505917S
dc.identifier.urihttps://hdl.handle.net/20.500.12450/1375
dc.descriptionWOS: 000355847500001en_US
dc.description.abstractIn 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.en_US
dc.description.sponsorship[FMB-BAP-022]en_US
dc.description.sponsorshipThe first, second, third and the fifth authors acknowledge the financial support by the FMB-BAP-022 Project, entitled "A new approach to semigroup theory: Soft intersection semigroups, ideals and their characterizations" carried out by Amasya University, Turkey.en_US
dc.language.isoengen_US
dc.publisherUNIV NIS, FAC SCI MATHen_US
dc.relation.isversionof10.2298/FIL1505917Sen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSoft seten_US
dc.subjectSoft intersection left (right, two-sided) idealen_US
dc.subjectSoft intersection bi-idealen_US
dc.subjectSoft semiprimeen_US
dc.subjectRegular semigroupsen_US
dc.titleSoft Intersection Semigroups, Ideals and Bi-Ideals; a New Application on Semigroup Theory Ien_US
dc.typearticleen_US
dc.relation.journalFILOMATen_US
dc.authoridAtagun, Akin Osman -- 0000-0002-2131-9980en_US
dc.identifier.volume29en_US
dc.identifier.issue5en_US
dc.identifier.startpage917en_US
dc.identifier.endpage946en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.department-temp[Sezer, Aslihan Sezgin -- Turkmen, Ergul] Amasya Univ, Dept Math, TR-05100 Amasya, Turkey -- [Cagman, Naim] Gaziosmanpasa Univ, Dept Math, TR-60250 Tokat, Turkey -- [Atagun, Akin Osman] Bozok Univ, Dept Math, TR-66100 Yozgat, Turkey -- [Ali, Muhammed Irfan] COMSATS Inst Informat Technol Attock, Dept Math, Attock, Pakistanen_US


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