Multiplication lattice modules

Callialp F., Tekir Ü.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.35, pp.309-313, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 35
  • Publication Date: 2012
  • Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.309-313
  • Keywords: Multiplicative lattice, lattice modules, maximal element, prime element, ELEMENTS
  • Marmara University Affiliated: Yes

Abstract

Let M be a lattice module over the multiplicative lattice L. An L-module M is called a multiplication lattice module if for every element N is an element of M there exists an element a is an element of L such that N = a1(M). Our objective is to investigate properties of prime elements of multiplication lattice modules.