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 …

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 …

For complexes of modules we study two new constructions which we call the pinched tensor
product and the pinched Hom. They provide new methods for computing Tate homology …

0138-4821/93 $2.50 circlecopyrt-c2003 Heldermann Verlag< noindent 452< quad A.
Beligiannis, H. Krause: Realizing Maps between Modules over Tate Cohomology R (i)< …

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 …

Complete cohomology for arbitrary rings using injectives’ Page 1 JOURNAL OF PURE AND
APPLIED ALGEBRA Journal of Pure and Applied Algebra 131 (1998) 297-318 EW3’IE.R …

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

A cotorsion theory is defined as a pair of classes Ext-orthogonal to each other. We give a
hereditary condition (HC) which is satisfied by the (flat, cotorsion) cotorsion theory and give …

In this article, we give a generalization to injective modules by using $ e $-exact sequences
introduced by Akray in [1] and name it $ e $-injective modules and investigate their …