Let R be a commutative ring. An R-module M is called a semi-regular w-flat module if
\Tor_1^R(R/I,M) is \GV-torsion for any finitely generated semi-regular ideal I. In this article …

In this paper, we introduce the notion of Wn-modules and describe non-commutative
coherent rings with finite FP-selfinjective dimension. The obtained results generalize the …

In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

Let R be a commutative ring with identity, and let S be a multiplicative subset of R.
Positselski and Sl\'avik introduced the concepts of S-strongly flat modules and S-weakly …

Let R be a ring. A left R-module M (respectively right R-module N) is called FI-injective
(respectively FI-flat) if Ext1 (G, M)= 0 (respectively Tor1 (N, G)= 0) for any FP-injective left R …

In this article, we study the weak global dimension of coherent rings in terms of the left FP-
injective resolutions of modules. Let R be a left coherent ring and ℱ ℐ the class of all FP …

Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …

Let $ R $ be a ring. In\cite {MD4} Mao and Ding defined an special class of $ R $-modules
that they called\(FP_n\)-projective $ R $-modules. In this paper, we give some new …

We study torsionfree and divisible dimensions in terms of right derived functors of-⊗-. We
also investigate the cotorsion pair cogenerated by the class of cyclic torsionfree right R …

Let R be a ring. A right R-module M is called f-projective if Ext1 (M, N)= 0 for any f-injective
right R-module N. We prove that (F-proj, F-inj) is a complete cotorsion theory, where F-proj …