The Source of Semiprimeness of Semigroups

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dc.authorid0000-0002-8255-4706en_US
dc.authorid0000-0003-0666-9410en_US
dc.authorid0000-0002-8413-3753en_US
dc.authorscopusid55795460600en_US
dc.authorscopusid56677827100en_US
dc.authorscopusid57204644403en_US
dc.authorwosidAAT-3510-2021en_US
dc.authorwosidEFJ-1876-2022en_US
dc.authorwosidEPN-0039-2022en_US
dc.contributor.authorAlbayrak, Barış
dc.contributor.authorYeşil, Didem
dc.contributor.authorKaralarlıoğlu Camcı, Didem
dc.date.accessioned2022-10-11T08:50:47Z
dc.date.available2022-10-11T08:50:47Z
dc.date.issued2021en_US
dc.departmentFakülteler, Biga Uygulamalı Bilimler Fakültesi, Finans ve Bankacılık Bölümü
dc.departmentFakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we define new semigroup structures using the set S-S = {a is an element of S vertical bar aSa = 0} which is called the source of semiprimeness for a semigroup S with zero element. vertical bar S-S vertical bar-idempotent semigroup, vertical bar S-S vertical bar-regular semigroup, vertical bar S-S vertical bar-reduced semigroup, and vertical bar S-S vertical bar-nonzero divisor semigroup which are generalizations of idempotent, regular, reduced, and nonzero divisor semigroups in semigroup theory are investigated, and their basic properties are determined. In addition, we adapt some well-known results in semigroup theory to these new semigroups.en_US
dc.identifier.citationAlbayrak, B., Yeşil, D., Karalarlioğlu Camci, D. (2021). The Source of Semiprimeness of Semigroups. Journal of Mathematics, 2021, 1–8. https://doi.org/10.1155/2021/4659756en_US
dc.identifier.doi10.1155/2021/4659756
dc.identifier.endpage8en_US
dc.identifier.issn2314-4629
dc.identifier.issn2314-4785
dc.identifier.scopus2-s2.0-85108094177
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.1155/2021/4659756
dc.identifier.urihttps://hdl.handle.net/20.500.12428/3743
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000664081900001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAlbayrak, Barış
dc.institutionauthorYeşil, Didem
dc.institutionauthorKaralarlıoğlu Camcı, Didem
dc.language.isoen
dc.publisherHindawien_US
dc.relation.ispartofJournal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSemigroupsen_US
dc.subjectSemiprimenessen_US
dc.subjectZero elementen_US
dc.titleThe Source of Semiprimeness of Semigroups
dc.typeReview Article

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