Weakly unique factorization modules

ORAL K. H., TEKİR Ü., AĞARGÜN A. G.

TAMKANG JOURNAL OF MATHEMATICS, vol.41, no.3, pp.245-252, 2010 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.5556/j.tkjm.41.2010.729
  • Journal Name: TAMKANG JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.245-252
  • Marmara University Affiliated: Yes

Abstract

In this work we give the definition of weakly prime element of a module. Therefore we give a new definition of factorization in a module, which is called weakly factorization. So we call a module weakly unique factorization module if all elements have a weakly factorization which is unique. We give the relation between weakly prime elements and weakly prime submodules. Then we characterize such weakly unique factorization modules.