Modules with minimal copure-injectivity domain

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Atıf İçin Kopyala

TOKSOY S. E.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.18, sa.11, 2019 (SCI-Expanded)

• 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.