Modules with minimal copure-injectivity domain
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.18, sa.11, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 11
- Basım Tarihi: 2019
- Doi Numarası: 10.1142/s0219498819502013
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper, copure-injectively poor modules are introduced as modules whose copure-injectivity domains are minimal. Rings over which every module is copure-injectively poor are CDS rings. Examples showing the relations between poor and copi-poor modules are given. It is shown that over a commutative (co-)noetherian ring copi-poor modules coincide with pi-poor modules. Also, some properties of copure-split modules are given.