On Semisimple-direct Modules
Sanjeev Kumar Maurya, Meenu Khatkar, Shiv Kumar
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Source: Crossref
Published: Sep 11, 2026
DOI: 10.1142/s1793557126501196
Open original source ↗Source abstract
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.
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