In this paper we show that artinian duo rings are (finite) direct sum of local subrings and
artinian duo QF-3 rings are actually QF-rings and hence exact rings in the sense of Azumaya …

Associative rings that possess Morita dualities or self-dualities form the object of this book.
They are assumed to have an identity and modules are assumed unitary. The book sets out …

ARTINIAN DUO RINGS AND SELF-DUALITY Clearly a bimodule RMS is duo if and only if Rx
— xS for all xe M. A ring Page 1 proceedings of the american mathematical society Volume …

M”)= Mb”> M (Io>...> Mj,'l,> Mj,“= O is a composition series for R (M ('J) S. Since R (MkP,/M,)
is balanced, so is R (Mk-,/Mk)(') z.(Mi? JMY') by [l, Exercise 14.81. Now using Lemma 1 and …

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 …

Morita duality and artinian left duo rings Page 1 BULL. AUSTRAL. MATH. SOC. 16A49, 16A35
VOL. 39 (1989) [339-342] MORITA DUALITY AND ARTINIAN LEFT DUO RINGS WEIMIN XUE …

Azumaya [A] introduced (Artinian) exact rings, and Camillo et al.[CFH] adapted this
exactness to bimodules (with a composition series). Now we define (arbitrary) exact …

Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 31, Issue 1 1989 Article 14 JANUARY 1989 On Hereditary Artinian Rings …

This book was written while the author was visiting professor at Heidelberg University,
supported by SFB 123 in 1990-1992 and at Stuttgart University Mathematisches Institut A …

Rings, Groups, and Algebras Page 1 Recent Developments in Morita Duality WEIMIN XUE
Department of Mathematics, Fujian Normal University, Fuzhou, Fujian 350007, People·s …