Rings with nonzero maps between non-projective modules

TÜRKOĞLU Z.

COMMUNICATIONS IN ALGEBRA, cilt.50, sa.5, ss.2109-2114, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 5
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/00927872.2021.1998827
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2109-2114
  • Anahtar Kelimeler: Non-zero homorphism, projective module, ring
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.