Let $ R $ be a commutative ring. In this paper, the $ w $-projective Basis Lemma for $ w $-
projective modules is given. Then it is shown that for a domain, nonzero $ w $-projective …

In this article, we introduce a new type of projective modules, called the weak w-projective
module. By using this type of modules, we give a homological characterization of Krull …

Let R be a commutative ring with identity. In this paper, w∞-projective modules are
introduced and studied. It is shown that every R-module has a special w∞-projective …

Although Krull domains have been an interesting subject in commutative ring theory, not
many characterizations of Krull domains are known compared to those of Priifer domains …

Let R be a commutative ring with identity. Denote by w𝒫 w the class of weak w-projective R-
modules and by w𝒫 w⊥ the right orthogonal complement of w𝒫 w. It is shown that (w𝒫 w …

Let D be an integral domain, w be the so-called w-operation on D, and GV (D) be the set of
nonzero finitely generated ideals J of D with J− 1= D. Let I be aw-ideal of D, D/I be the factor …

Let M be a left R-module. Then a proper submodule P of M is called weakly prime
submodule if for any ideals A and B of R and any submodule N of M such that ABN⊆ P, we …

Let R be a commutative ring with identity. An R-module M is said to be w-projective if Ext1 R
(M, N) is GV-torsion for any torsion-free w-module N. In this paper, we define a ring R to be w …

We define a kind of non-commutative Krull domains using serial over-rings, which turn out to
be localizations at prime ideals of height one. We globalize some properties of valuation …

Let R be a commutative ring. In this paper, a class of almost projective modules is
introduced. An R-module M is said to be almost projective if Ext R 1 (M, N)= 0 for any R 𝔪 …