In this paper, we further study Tate cohomology of modules over a commutative ring with
respect to semidualizing modules using the ideals of Sather-Wagstaff et al.['Tate …

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

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 …

Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …

In this paper, we investigate the maximal Cohen–Macaulay property of tensor products of
modules, and then give criteria for projectivity of modules in terms of vanishing of Ext …

We consider two preenveloping classes of left R-modules ℐ, ℰ such that Inj⊂ ℐ⊂ ℰ, and a
left R-module N. For any left R-module M and n≥ 1 we define the relative extension …

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 …

Tate cohomology was originally defined over finite groups. More recently, Avramov and
Martsinkovsky showed how to extend the definition so that it now works well over Gorenstein …

We construct local Tate cohomology groups H ̂∗ I (A; M) of an A-module M at a finitely
generated ideal I by splicing together the Grothendieck local cohomology groups [16] with …