ON 2-ABSORBING PRIMARY AND WEAKLY 2-ABSORBING ELEMENTS IN MULTIPLICATIVE LATTICES

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dc.contributor.authorCallialp, Fethi
dc.contributor.authorYetkin, Ece
dc.contributor.authorTekir, Unsal
dc.date.accessioned2024-03-13T10:33:37Z
dc.date.available2024-03-13T10:33:37Z
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 is an element of L with (0 not equal abc <= q) abc <= q implies either ab <= q or ac <= root q or bc <= root 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.description.sponsorshipScientific Research Project Program of Marmara (BAPKO)en_US
dc.description.sponsorshipThis work is supported by the Scientific Research Project Program of Marmara (BAPKO).en_US
dc.identifier.endpage276en_US
dc.identifier.issn1126-8042
dc.identifier.issn2239-0227
dc.identifier.issue34en_US
dc.identifier.scopus2-s2.0-84952032933
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage263en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4044
dc.identifier.wosWOS:000214363500026en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherForum Editrice Univ Udineseen_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.subjectprime elementen_US
dc.subjectprimary elementen_US
dc.subject2-absorbing elementen_US
dc.subject2-absorbing primary elementen_US
dc.subjectmultiplicative latticeen_US
dc.titleON 2-ABSORBING PRIMARY AND WEAKLY 2-ABSORBING ELEMENTS IN MULTIPLICATIVE LATTICESen_US
dc.typeArticleen_US

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