Rings with nonzero maps between non-projective modules

TÜRKOĞLU Z.

COMMUNICATIONS IN ALGEBRA, vol.50, no.5, pp.2109-2114, 2022 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.1080/00927872.2021.1998827
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.2109-2114
  • Keywords: Non-zero homorphism, projective module, ring
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we characterize rings admitting nonzero homomorphisms between nonzero modules. Also, we characterize rings satisfying the following property: There exists a nonzero homomorphism between any two non-projective modules.