On 2-absorbing primary and weakly 2-Absorbing elements in multiplicative lattices

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dc.contributor.authorÇallialp F.
dc.contributor.authorYetkin E.
dc.contributor.authorTekir U.
dc.date.accessioned2024-03-13T10:01:25Z
dc.date.available2024-03-13T10:01:25Z
dc.date.issued2015
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this paper, we introduce the concept of 2-absorbing primary and weakly 2-absorbing primary elements which are generalizations of primary and weakly primary elements in multiplicative lattices. Let L be a multiplicative lattice. A proper element q of L is said to be a (weakly) 2-absorbing primary element of L if whenever a,b,c ? L with (0 ? abc ? q) abc ? q implies either ab ? q or ac ? ?q or bc ? ?q. Some properties of 2-absorbing primary and weakly 2-absorbing primary elements are presented and relations among prime, primary, 2-absorbing, weakly 2-absorbing, 2-absorbing primary and weakly 2-absorbing primary elements are investigated. Furthermore, we determine 2-absorbing primary elements in some special lattices and give a new characterization for principal element domains in terms of 2-absorbing primary elements.en_US
dc.identifier.endpage276en_US
dc.identifier.issn1126-8042
dc.identifier.issue34en_US
dc.identifier.scopus2-s2.0-84952032933en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage263en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3201
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherForum-Editrice Universitaria Udinese SRLen_US
dc.relation.ispartofItalian Journal of Pure and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject2-absorbing elementen_US
dc.subject2-absorbing primary elementen_US
dc.subjectMultiplicative latticeen_US
dc.subjectPrimary elementen_US
dc.subjectPrime elementen_US
dc.titleOn 2-absorbing primary and weakly 2-Absorbing elements in multiplicative latticesen_US
dc.typeArticleen_US

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