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

We compare and contrast various relative cohomology theories that arise from resolutions
involving semidualizing modules. We prove a general balance result for relative …

We provide a general method to construct the Tate–Vogel homology theory for a general
half-exact functor with one variable, aiming at a good generalization of Cohen–Macaulay …

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 …

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 …

Let R be a semiperfect commutative Noetherian ring and C a semidualizing R-module. We
study the theory of linkage for modules of finite G C-dimension. For a horizontally linked R …

In this paper we further develop the theory of linkage with respect to a semidualizing module
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …