Strongly Generalized Radical Supplemented Modules
We introduce and study strongly generalized radical-supplemented modules (or briefly sgrs-modules). With the notation Radg(R) := ∩{K : K ≤ RR, K is both essential and maximal}, we prove that (under some mild conditions on a ring R) every right R-module is a sgrs-module if and only if RSoc(R){R \over...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Zielona Góra
2020-06-01
|
Series: | Discussiones Mathematicae - General Algebra and Applications |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgaa.1326 |