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 …

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 …

We extend the definition of a semidualizing module to general associative rings. This
enables us to define and study Auslander and Bass classes with respect to a semidualizing …

Regarding a generalization of Morita duality, as in [F] we call a module I/Ck with
endomorphism ring S a quasi-dualzty module if it represents a duality between the finitely …

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 this paper we study relative duality theory, with respect to an idempotent kernel functor σ
over some commutative ring R and prove that σ-dualizing R-modules are not only locally …

Foxby duality has proven to be an important tool in studying the category of modules over a
local Cohen-Macaulay ring admitting a dualizing module. Recently the notion of a semi …

Let R be a commutative noetherian local ring. A finitely generated R-module C is
semidualizing if it is self-orthogonal and\rm Hom _R (C, C) ≅ R. We prove that a Cohen …

In previous papers (Mtiller [11, 12]) we have studied Morita dualities. These are
contravariant category equivalences between categories of right R-modules and left S …

In this paper, we prove that the Bass class with respect to a semidualizing bimodule C
contains all FP-injective S-modules. We introduce the definition of C-FP-injective modules …