If R is an artinian OF-3 ring with minimal faithful modules Re and ff (e and f are idempotents
of R) then it was proved in [5] and [14] that the bimodule „fRe, defines a Morita duality. This …

The considerable number of papers by various authors dealing with Morita duality of module
categories, makes it obvious that the theory of Morita duality can be treated purely on a …

3. RESULTS We start by answering negatively the question of Colby and Fuller referred to
above, in the simpler case of abelian categories. EXAMPLE 1. Let~ 2 be the full subcategory …

Over any left and right self-injective ring R the R-dual functors ()* between R-Mod and Mod-
R are exact, and hence so are the double R-dual functors ()** on each of these categories. In …

In [2] we proved that a one-sided artinian ring is QF-3 if and only if its double dual functors
preserve monomorphisms. Here with the aid of [3] we prove that the double dual functor over …

Let R-Mod be the category of unital left modules over a ring R. It is shown that a finitely
closed subcategory K of R-Mod is an AB5∗ category if and only if K is dual to some finitely …

Let R and S be rings with identity, and Mod-R and S-Mod the category of unital right R-and
left S-modules, respectively. Also let. A and B be full subcategories of Mod-R and S-Mod …

A contra variant category-equivalence between categories of right R-modules and left S-
modules (all rings have units, all modules are unitary) that contain RR, SS and are closed …

For any additive functor from a category of modules into an abelian category there is a
largest Giraud subcategory for which the functor acts faithfully on homomorphisms into the …

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 …