Kimuli, Philly IvanSsevviiri, David2023-01-032023-01-032022-12-14Kimuli, P. I., & Ssevviiri, D.(2022). Characterizations of regular modules. International Electronic Journal of Algebra, 31(2022).1306-6048https://dir.muni.ac.ug/handle/20.500.12260/484Different 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.enRegular moduleReduced module(weakly-)morphic moduleArticle