In this paper, let $ R $ be a ring and $(\mathcal {F},\mathcal {C}) $ a cotorsion pair of right $
R $-modules. $\mathcal {F} $-dimension ($\mathcal {C} $-dimension) of right $ R $-modules …

Over a commutative noetherian ring R of finite Krull dimension, we show that every complex
of flat cotorsion R-modules decomposes as a direct sum of a minimal complex and a …

An additive functor from the category of flat right R‐modules to the category of abelian
groups is continuous if it is isomorphic to a functor of the form−⊗ RM, where M is a left R …

Let R be a ring and n be a positive integer. R is called left n-coherent, if every n-presented
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …

Let $ R $ be a ring and $ n $ a non-negative integer. In this paper, we first introduce the
concept of $ n $-super finitely copresented $ R $-modules and via these modules, we give a …

Let R be a commutative Noetherian ring, M be a weakly Laskerian R-module and 𝔞 be an
ideal of R. Moreover, suppose that F and T are two covariant R-linear functors such that for …

Suppose that G is a finite group and k is a field of characteristic p> 0 p> 0. We consider the
complete cohomology ring E _M^*= ∑ _ n ∈\mathbb Z Ext^ n_ kG (M, M) EM∗=∑ n∈ Z …

In this paper, we introduce and study the concepts of weak n-injective and weak n-flat
modules in terms of super finitely presented modules whose projective dimension is at most …

Let dwI denote the class of#-injective complexes of left R-modules (ie, complexes of injective
left R-modules). We prove that over left noetherian rings R, the pair (⊥(dwI), dwI) is a perfect …