[PDF][PDF] Characterizations of regular modules

PI Kimuli, D Ssevviiri - International Electronic Journal of Algebra, 2023 - dergipark.org.tr
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 …

Weakly-morphic modules

PI Kimuli, D Ssevviiri - Rendiconti del Circolo Matematico di Palermo …, 2023 - Springer
Let R be a commutative ring, M an R-module and φ a be the endomorphism of M given by
right multiplication by a∈ R. We say that M is weakly-morphic if M/φ a (M)≅ ker (φ a) as R …