This book provides a unified approach to much of the theories of equivalence and duality
between categories of modules that has transpired over the last 45 years. In particular …

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 …

RSR R'R sufficient conditions for a bimodule RMS to induce a duality of this type, showing
also how these results could be applied to (ordinary) Morita duality. The study of these …

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 …

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 …

The idea of duality occurs in many parts of mathematics. Its earliest appearance (some 150
years ago) was in projective geometry where it permitted to halve the number of theorems to …

Finiteness conditions of reflexive objects of a Morita duality of Grothendieck category is
studied. It is observed that the relation between coproduct and product is a fundamental fact …

Let R and S be rings with identity and Qs an (R, S)-bimodule. In the Page 1 Math. J. Okayama
Univ. 33 (1991), 149 - 154 LINEARLY COMPACT DUAL- BIMODULES Dedicated to Professor …

We study the dualities induced by a ring R such that every finitely generated submodule of E
(RR) is torsionless (left QF-3 ″rings) and use them to obtain new information about these …

MORITA DUALITY FOR GROTHENDIECK CATEGORIES Page 1 Publications Matemàtiques,
Vol 36 (1992), 625-635. MORITA DUALITY FOR GROTHENDIECK CATEGORIES JL Gómez …