Let R be a commutative Noetherian ring and C a semidualizing module. Based on a kind of
Tate FC-resolutions of modules constructed by Hu et al., in this paper, we introduce and …

Let R be a commutative Noetherian ring and C a semidualizing module. Based on a kind of
Tate F _C FC-resolutions of modules constructed by Hu et al., in this paper, we introduce …

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 …

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 …

We derive in the paper the tensor product functor $-\otimes_R-$ by using proper $\mathcal
{G}\mathcal {P} _C $-resolutions, where $ C $ is a semidualizing module. After giving …

We investigate Tate cohomology of modules over a commutative noetherian ring with
respect to semidualizing modules. We identify classes of modules admitting Tate resolutions …

Let A be a commutative noetherian ring, let a⊆ A be an ideal, and let J be an injective A-
module. A basic result in the structure theory of injective modules states that the A-module …

VANISHING OF EXT MODULES OVER COHEN–MACAULAY RINGS 1. Introduction We refer
the reader to [10] (arXiv:2106.08583) for details Page 1 VANISHING OF EXT MODULES OVER …

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 R be commutative Noetherian ring with identity (not necessarily local), M and N be
nonzero finitely generated R-modules. Let K be a semidualizing R-module and χ_n be a …