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 …

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 …

Let $ R $ be a ring. An $ R $-module $ M $ is said to be a weak $ w $-projective module if
${\rm Ext} _R^ 1 (M, N)= 0$ for all $ N\in\mathcal {P} _ {w}^{\dagger_\infty} $(see,\cite {FLQ}) …

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 domain with 1 and Q (≠ R) its field of quotients. In this note an R-
module M is called w∞-Warfield cotorsion if M∈ WC∩ P w∞⊥, where WC denotes the …

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 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 …

In this article, the direct and inverse limits of w-modules of a commutative ring R are
discussed. We prove that, if {M i} is a family of w-modules of R, then and are both w …

w-MODULES OVER COMMUTATIVE RINGS 0. Introduction Let R be a domain with quotient
field K, and let F(R) be the set of nonzero fra Page 1 J. Korean Math. Soc. 48 (2011), No. 1, pp …

Let R be a domain with its field Q of quotients. An R-module M is said to be weak w-
projective if $ Ext^ 1_R (M, N)= 0$ for all $ N {\in}{\mathcal {P}}^{\dagger} _w $, where …