Copure direct injective modules
Journal Of Algebra And Its Applications, sa.-, ss.1-12, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2021
- Doi Numarası: 10.1142/s0219498822501870
- Dergi Adı: Journal Of Algebra And Its Applications
- 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.1-12
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper, we have introduced copure-direct-injective modules. A right R-module M is said to be copure-direct-injective if every copure submodule of M isomorphic to a direct summand of M is itself a direct summand. We have studied properties of copure- direct-injective modules. We characterized rings over which every (cofinitely generated, free, projective) module is copure-direct-injective. We have examined for which rings or under what conditions copure-direct-injective modules are direct-injective, quasi- injective, copure-injective, injective. Also we have compared copure-direct-injective mod- ules with pure-direct-injective modules.