Generalizations of $ss$-supplemented modules
We introduce the concept of (strongly) $ss$-radical supplemented modules. We prove that if a submodule $N$ of $M$ is strongly $ss$-radical supplemented and $Rad(M/N)=M/N$, then $M$ is strongly $ss$-radical supplemented. For a left good ring $R$, we show that $Rad(R)\subseteq Soc(_{R}R)$ if and only...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2021-06-01
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Series: | Karpatsʹkì Matematičnì Publìkacìï |
Subjects: | |
Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/3948 |