Answers are grounded in this paper and cite their sources.
Theoretical analysis reveals fundamental structural properties of semisimple-direct injective modules, highlighting new algebraic characterizations for several well-known ring classes.
The direct-injective module and its generalizations have been studied in several articles. Recently, semisimple versions of direct injective modules have been studied. Namely, a module is referred to as a semisimple-direct injective provided that for any two isomorphic semisimple submodules of A, one of them is a direct summand of A, then the same is true for the other. A study on various fundamental properties of these modules has been done, which enables us to obtain some new results on semisimple-direct injective modules. We also use semisimple-direct injective modules to characterize few well-known rings.
No takes yet. Share an insight, caveat, or question.
Maurya et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: