On 2-absorbing primary and weakly 2-Absorbing elements in multiplicative lattices
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Forum-Editrice Universitaria Udinese SRL
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
2-absorbing element, 2-absorbing primary element, Multiplicative lattice, Primary element, Prime element
Kaynak
Italian Journal of Pure and Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
Sayı
34
