Browsing by Author "Kimuli, Philly Ivan"

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    Characterizations of regular modules
    (International Electronic Journal of Algebra, 2022-12-14) Kimuli, Philly Ivan; Ssevviiri, David
    Different and distinct notions of regularity for modules exist in the literature. When these notions are restricted to commutative rings, they all coincide with the well-known von-Neumann regularity for rings. We give new characterizations of these distinct notions for modules in terms of both (weakly-)morphic modules and reduced modules. Furthermore, module theoretic settings are established where these in general distinct notions turn out to be indistinguishable.