In this paper, we define ⊕δ-co-coatomically supplemented and co-coatomically δ-semiperfect modules as a strongly notion of ⊕- co-coatomically supplemented and co-coatomically semiperfect modules with the help of Zhou’s radical. We say that a m...
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https://www.riss.kr/link?id=A108502902
Figen Eryilmaz (Ondokuz Mayis University) ; Esra Ozturk Sozen (Sinop University)
2023
English
KCI등재,ESCI
학술저널
146-159(14쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In this paper, we define ⊕δ-co-coatomically supplemented and co-coatomically δ-semiperfect modules as a strongly notion of ⊕- co-coatomically supplemented and co-coatomically semiperfect modules with the help of Zhou’s radical. We say that a m...
In this paper, we define ⊕δ-co-coatomically supplemented and co-coatomically δ-semiperfect modules as a strongly notion of ⊕- co-coatomically supplemented and co-coatomically semiperfect modules with the help of Zhou’s radical. We say that a module A is ⊕δ-cocoatomically supplemented if each co-coatomic submodule of A has a δ−supplement in A which is a direct summand of A. And a module A is co-coatomically δ-semiperfect if each coatomic factor module of A has a projective δ-cover. Also we define co-coatomically amply δ-supplemented modules and we examined the basic properties of these modules. Furthermore, we give a ring characterization for our modules. In particular, a ring R is δ-semiperfect if and only if each free R-module is co-coatomically δ-semiperfect.
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