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

Jayaram C., TEKİR Ü., Yetkin E.

COMMUNICATIONS IN ALGEBRA, cilt.42, sa.6, ss.2338-2353, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/00927872.2012.761229
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2338-2353
  • Anahtar Kelimeler: 2-Absorbing element, Principal element lattice, Principal element, Prufer lattice, Regular lattice, Weakly 2-absorbing element, Primary 06F10, Secondary 06F05, 13A15, COMMUTATIVE RINGS, IDEALS
  • Marmara Üniversitesi Adresli: Evet

Özet

In this article we study weakly 2-absorbing elements and 2-absorbing elements in C-lattices. Next we characterize C-lattices in which every nonzero proper element is a (weakly) 2-absorbing element. We also establish a new characterization for principal element domains in terms of 2-absorbing elements.