Let R be a commutative ring and w be the so-called w-operation on R. Then we introduce
and study two concepts of w-FP-injective modules and w-IF rings. To do so, we use two main …

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

In this paper, the concepts of ω-linked homomorphisms, the ω 𝜙-operation, and DW 𝜙 rings
are introduced. Also the relationships between ω 𝜙-ideals and ω-ideals over a ω-linked …

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 …

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 introduce and study the $ q $-Krull dimension of a commutative ring via its
$ q $-operation. A new characterization of $\tau_q $-von Neumann regular rings is obtained …

Let R be a commutative ring. An R-module M is said to be w-flat if Tor R 1 (M, N) is GV-
torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not …

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}) …