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

Jayaram C., TEKİR Ü., Yetkin E.

COMMUNICATIONS IN ALGEBRA, vol.42, no.6, pp.2338-2353, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 6
  • Publication Date: 2014
  • Doi Number: 10.1080/00927872.2012.761229
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2338-2353
  • Keywords: 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 University Affiliated: Yes

Abstract

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.