On morphic modules over commutative rings

Bouba E. M., Tamekkante M., Tekir Ü., Koç S.

BEITRAGE ZUR ALGEBRA UND GEOMETRIE, vol.65, no.1, pp.1-11, 2024 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.1007/s13366-022-00672-w
  • Journal Name: BEITRAGE ZUR ALGEBRA UND GEOMETRIE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1-11
  • Keywords: Comorphic ring, Comorphic module
  • Marmara University Affiliated: Yes

Abstract

A commutative ring R is said to be a morphic ring if for each a is an element of R there exists b is an element of R such that ann(a) = Rb and ann(b) = Ra. In this paper, we extend the notion of morphic rings to modules and we study the introduced concept by comparing it with some related notions.