Characterizations of regular modules

Authors : Philly Ivan KİMULİ, David SSEVVİİRİ

Pages : 54-76

Doi:10.24330/ieja.1224782

View : 18 | Download : 13

Publication Date : 2023-01-09

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(weakly-);morphic modules and reduced modules. Furthermore, module theoretic settings are established where these in general distinct notions turn out to be indistinguishable.
Keywords : Regular module, reduced module weakly, morphic module