Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …

Let R be a ring. A right R-module M is said to be neat-flat if the kernel of any epimorphism
Y→ M is neat in Y, ie, the induced map Hom (S, Y)→ Hom (S, M) is surjective for any simple …

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 …

A submodule N of a module M is called S-closed (in M) if M/N is nonsingular. It is well-known
that the class Closed of short exact sequences determined by closed submodules is a …

The main object of this paper is to study relative homological aspects as well as further
properties of τ-closed submodules. A submodule N of a module M is said to be τ-closed (or τ …

A submodule N of a right R-module M is called coneat if for every simple right R-module S,
any homomorphism $ N {\rightarrow} S $ can be extended to a homomorphism $ M …

In a recent paper, Mao has studied min-pure injective modules to investigate the existence
of min-injective covers. A min-pure injective module is one that is injective relative only to …

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 …

A module is called coneat injective if it is injective with respect to all coneat exact
sequences. The class of such modules is enveloping and falls properly between injectives …

In this paper, we study left orthogonal class of max-flat modules which are the homological
objects related to s-pure exact sequences of modules and module homomorphisms …