Let R be a commutative Noetherian ring and let C be a semidualizing R-module. The aim of
this paper is to introduce and study the relative version of Matlis duality with respect to C and …

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 …

We establish new results on (co) homology vanishing and Ext-Tor dualities, and derive a
number of freeness criteria for finite modules over Cohen-Macaulay local rings. In the main …

In this paper, motivated by a work of Luk and Yau, and Huneke and Wiegand, we study
various aspects of the cohomological rigidity property of tensor product of modules over …

Let R be a commutative Noetherian ring and C a semidualizing module. Based on a kind of
Tate F _C FC-resolutions of modules constructed by Hu et al., in this paper, we introduce …

We extend the existing concepts of secondary representation of a module, coregular
sequence and attached prime ideals to the more general setting of any hereditary torsion …

Given an s-unital ring $ R $, as defined by Tominaga in 1975, we show that the category of s-
unital $ R $-$ R $-bimodules is a unital monoidal category with the unit object $ R $ with …

Modules With Unique Closure Relative to a Torsion Theory II Page 1 Turkish Journal of
Mathematics Volume 33 Number 2 Article 2 1-1-2009 Modules With Unique Closure Relative …

As a dual of the Auslander transpose of modules, we introduce and study the cotranspose of
modules with respect to a semidualizing module C. Then using it we introduce nC …