On 2-absorbing primary and weakly 2-Absorbing elements in multiplicative lattices
dc.contributor.author | Çallialp F. | |
dc.contributor.author | Yetkin E. | |
dc.contributor.author | Tekir U. | |
dc.date.accessioned | 2024-03-13T10:01:25Z | |
dc.date.available | 2024-03-13T10:01:25Z | |
dc.date.issued | 2015 | |
dc.department | İstanbul Beykent Üniversitesi | en_US |
dc.description.abstract | In 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.endpage | 276 | en_US |
dc.identifier.issn | 1126-8042 | |
dc.identifier.issue | 34 | en_US |
dc.identifier.scopus | 2-s2.0-84952032933 | en_US |
dc.identifier.scopusquality | Q4 | en_US |
dc.identifier.startpage | 263 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12662/3201 | |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Forum-Editrice Universitaria Udinese SRL | en_US |
dc.relation.ispartof | Italian Journal of Pure and Applied Mathematics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | 2-absorbing element | en_US |
dc.subject | 2-absorbing primary element | en_US |
dc.subject | Multiplicative lattice | en_US |
dc.subject | Primary element | en_US |
dc.subject | Prime element | en_US |
dc.title | On 2-absorbing primary and weakly 2-Absorbing elements in multiplicative lattices | en_US |
dc.type | Article | en_US |