In this paper we are concerned with absolute, relative and Tate Tor modules with respect to
a fixed semidualizing module over commutative Noetherian local rings. Motivated by a result …

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 …

Let $ R $ be a commutative Noetherian local ring. We study tensor products involving a
finitely generated $ R $-module $ M $ through the natural action of its endomorphism ring. In …

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 …

Let $ R $ be a Noetherian local ring, and let $ C $ be a semidualizing $ R $-module. In this
paper, we present some results concerning to vanishing of $\operatorname {Ext} $ and finite …

We introduce and study" quasidualizing" modules over a commutative local noetherian ring
R. An artinian R-module T is quasidualizing if the homothety map [special characters …

Two generalizations of Auslander-Reiten duality and applications Page 1 Two generalizations of
Auslander–Reiten duality and applications Arash Sadeghi and Ryo Takahashi …

Let τ be a hereditary torsion theory. We mention a characterization of τ-quasi-injective
modules, as fully invariant submodules of their τ-injective hull, and we give some properties …

Let C be a semidualizing module over a commutative noetherian ring R. We exhibit an
isomorphism Tor^F_CM_i(-,-)≅Tor^P_CM_i(-,-) between the bifunctors defined via C-flat and …