Prime, weakly prime and almost prime elements in multiplication lattice modules

ASLANKARAYİĞİT UĞURLU E., ÇALLIALP F., TEKİR Ü.

OPEN MATHEMATICS, vol.14, pp.673-680, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14
  • Publication Date: 2016
  • Doi Number: 10.1515/math-2016-0062
  • Journal Name: OPEN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.673-680
  • Keywords: Multiplication lattice module, Prime element, Weakly prime element and Almost prime element, DUAL NOTION
  • Marmara University Affiliated: Yes

Abstract

In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module. With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.