This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

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 …

This book provides an introduction to topological groups and the structure theory of locally
compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality …

PROOF: For I= Ra there is an element b ER such that ba generates the smallest nonzero
ideal H of R and hence b E annJa\annRa, ie annJa> annRa. Assume now by induction that …

It is well known that there is a close relation between linear compactness and the
Grothendieck condition AB-5*. In fact, for any cocomplete abelian category these conditions …

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 …

In this work we study (left) linearly compact (ie) rings giving contributions in the following
three directions. A theorem of representation of any 1. e. ring as the endo-morphism ring of a …

In this article we consider only associative rings with nonzero identity and unitary modules. A
ring R is called a two-sided PF-ring or a ring with perfect duality if it is a left and right PF-ring …

0.1. Throughout this paper all rings are associative with identity 1~ 0 and all modules are
unitary. In our previous work [5] we outlined the connection between linearly compact rings …

On introduit ici une notion de limite d'une fonction numérique suivant une famille
d'ensembles. Cette notion, qui est un cas parti-culier d'intégrale d'une fonction numérique …