The study of Gorenstein algebras has emerged as a cornerstone of modern algebra, offering a powerful paradigm in which duality and symmetry in module theory can be rigorously examined. These algebras ...

The object of this paper is to study the relationship between certain projective modules and their endomorphism rings. Specifically, the basic problem is to describe the projective modules whose ...

A class C of modules over a unitary ring is said to be socle fine if whenever M, N ∊ C with Soc(M) ≅ Soc(N) then M ≅ N. In this work we characterize certain types of rings by requiring a suitable ...