Given two complete hereditary cotorsion pairs (𝒬, ℛ) and (𝒬′, ℛ′) in the category of
modules which satisfy the conditions 𝒬′⊆ 𝒬, 𝒬∩ ℛ= 𝒬′∩ ℛ′, and ℛ′ is enveloping, a …

Let (𝒳, 𝒴) be a complete and hereditary cotorsion pair in a bicomplete abelian category 𝒜.
We introduce a Gorenstein category 𝒢 (𝒳) and 𝒢 (𝒳)-resolution dimension of complexes …

We introduce and investigate Tate homology \rmtor of modules of finite Gorenstein flat
dimension. In particular, we show that over a right coherent ring R, \rmtor_i^R(M,N)≅ …

We introduce and investigate in this paper a kind of Tate homology of modules over a
commutative coherent ring based on Tate ℱC-resolutions, where C is a semidualizing …

In this paper, we are concerned with Tate homology tor ̂ tor of modules of finite Gorenstein
FI-flat dimension. We determine connections between Tate, relative and absolute homology …

Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective
modules over an Iwanaga-Gorenstein ring, we present the concept of left and right n …

We study homological aspects of Gorenstein flat modules over a ring with respect to a
duality pair (L, A). These modules are defined as cycles of exact chain complexes with …

We consider two pairs of complete hereditary cotorsion theories\left (P, M\right),\left (M,
I\right) and\left (C, L\right)\left (L, E\right) on the category of left R-modules, such that P ⊂ C …

For a local commutative Gorenstein ring R, Enochs et al. in [Gorenstein projective
resolvents, Comm. Algebra 44 (2016) 3989–4000] defined a functor Ext^ n R (−,−) and …

We study Tate cohomology of modules over a commutative Noetherian ring with respect to
semidualizing modules. First, we show that the class of modules admitting a Tate F_C …