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...

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Bibliographic Details
Main Authors: Das Soumitra, Buhphang Ardeline M.
Format: Article
Language:English
Published: Sciendo 2020-06-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1326