Semidualizing modules have been found to be useful for several constructions in
homological algebra. Introduced by Foxby, Vasconcelos, Golod, and Wakamatsu. Studied …

Let R and S be arbitrary associative rings. The purpose of this paper is to study the
equivalences induced by HomR (V,−), VS⊗− and their derived functors, and the dualities …

Auslander and Solberg introduced the concepts of finitely generated cotilting and tilting
modules in relative homological algebra considering subfunctors of the Ext-functor. In this …

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 …

Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Let R be a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …

First, we give complete description of the comultiplication modules over a Dedekind domain.
Second, if R is the pullback of two local Dedekind domains, then we classify all …

Let C be a semidualizing R-module, where R is a commutative ring. We first introduce the
definition of C-cotorsion modules, and obtain the properties of C-cotorsion modules. As …

We study a class of modules which can be characterized using a duality theorem, called
finitistic n-self-cotilting. Such a module Q can be characterized using dual conditions of …

In [1], PE Bland has studied the strongly M-projective module and the strongly M-projective
cover. As their generalnotions, we define the strongly $\eta $-projective module and the …