Among the finitely generated modules over a Noetherian ring $ R $, the semidualizing
modules have been singled out due to their particularly nice duality properties. When $ R …

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 …

Among commutative integral domains, Priifer domains are precisely those whose lattice of
ideals satisfies the distributive law, and the noetherian Priifer domains are precisely the …

Dedekind domains are characterized among integral domains by the property that every
ideal be a projective module. The most naive dual characterization—that every …

A module is said to be extending, if every closed (ie complement) submodule is a direct
summand. This property is usually denoted by (Q). It is, obviously, equivalent to the …

The structure theory of hereditary noetherian prime (hnp) rings—in particular of Dedekind
prime rings—has been recently developed by many authors including Eisenbud, Griffith …

In his paper [191 Morita introduced the concept of functorial dualities between two full
subcategories A& and.+? of the categories of right R-modules and left S-modules containing …

It is shown in [2] that every R-module which is locally non-zero at every maximal ideal of R,
has a maximal distributive extension and the question is raised: is this unique up to …

We study the structure of the set of semidualizing complexes over a local ring. In particular,
we prove that for a pair of semidualizing complexes $ X_1 $ and $ X_2 $ such that $ G_ {X …

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 …