Comultiplication lattice modules

ÇALLIALP F., TEKİR Ü., Ulucak G.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.39, pp.213-220, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39
  • Publication Date: 2015
  • Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.213-220
  • Keywords: Multiplicative lattice, lattice modules, comultiplication lattice modules, PRIME ELEMENTS, MULTIPLICATION
  • Marmara University Affiliated: Yes

Abstract

Let M be a lattice module over the multiplicative lattice L. M is said to be a comultiplication L-module if for every element N of M there exists an element a is an element of L such that N = (O(M:M)a). Our objective is to investigate properties of comultiplication lattice modules.