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 …

We prove that Vopěnka's Principle implies that for every class X of modules over any ring,
the class of X-Gorenstein Projective modules (X-GP) is a precovering class. In particular, it is …

In this survey article, we introduce the properties of the cotorsion theory and show how to
construct the homology theory for all cotorsion theories. This can be considered the final …

Tensor product of projective-like modules | Beiträge zur Algebra und Geometrie / Contributions
to Algebra and Geometry Skip to main content SpringerLink Account Menu Find a journal …

In this paper, we study some properties of w-split modules. Hence, we use these modules to
characterize some classical rings. For example, we prove that a ring R is Von Neumann …

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}) …

Let R be a commutative ring. An R-module M is said to be w-split if Ext R 1 (M, N) is a GV-
torsion R-module for all R-modules N. It is known that every projective module is w-split, but …

Let R be a commutative ring. An R-module M is said to be an absolutely w-pure module if
Ext R 1 (F, M) is GV-torsion for any finitely presented R-module F. In this paper, we further …

In this note, we show that a strongly φ-ring R is a φ-PvMR if and only if any φ-torsion-free R-
module is φ-w-flat, if and only if any GV-torsion-free divisible R-module is nonnil-absolutely …

Cox, Sean Maximum deconstructibility in module categories. (English) £ ¢ ¡ Zbl 07455911 J.
Pure Appl. Algebra 226, No. 5, Ar Page 1 Cox, Sean Maximum deconstructibility in module …