Callialp, FethiYetkin, EceTekir, Unsal2024-03-132024-03-1320151126-80422239-0227https://hdl.handle.net/20.500.12662/4044In 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.eninfo:eu-repo/semantics/closedAccessprime elementprimary element2-absorbing element2-absorbing primary elementmultiplicative latticeArticle27634263WOS:000214363500026N/A