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We call a right module weakly neat-flat if is surjective for any epimorphism and any simple
right ideal. A left module is called weakly absolutely s-pure if is monic, for any …

For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if,
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …

In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …

In this paper, we investigate polyform modules and introduce the notion of relatively
polyform modules over a ring R. Some new characterizations and properties of polyform …

In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

Let U be a submodule of a module M. We call U a strongly lifting submodule of M if
whenever M/U=(A+ U)/U⊕(B+ U)/U, then M= P⊕ Q such that P≤ A,(A+ U)/U=(P+ U)/U and …

The aim of this note is to characterize right perfect rings using€ 9–supplemented modules.
Let R be a ring. We prove that R is a right perfect ring if and only if every T-projective right R …

In 2005, Enochs, Jenda, and López-Romos extended the notion of perfect rings to n-perfect
rings such that a ring is n-perfect if every flat module has projective dimension less than or …

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …