(8.81). Since the Aum off two endomonphisms of a non-abetian gnoup (T,*){A not an
endomonphism in genouaſſ, the Aetº E (T) of atº 64 nite &ums and dić62/tences of …

Examples are given of the following:(1) an injective Noetherian right module which is not
Artinian,(2) a linearly compact Noetherian right module over a right perfect ring which is not …

Characterization of Rings Using Quasiprojective Modules. II Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 2, May 1971 CHARACTERIZATION …

In ring theory there is the following density theorem for irreducible modules (topological
formulation [4, p. 31]). Let U be an irreducible ring of endomorphisms acting on the …

A. Pfister proved in 1966 the following theorem [14, Satz 21]: Let K be a field and let ax an, b
be elements of K* such that b is positive with respect to every ordering of K in which all a …

Define R to be a ring of characteristic not 2 or 3 satisfying the identity (1)(x, y, z)=(y, z, x) for
all x, y, z∊ R, where by characteristic not p is meant x—> px is a one-toone mapping of R …

One of the fundamental problems in the theory of rings is to characterize the rings of
bounded representations type in terms of their structure. The problem has been solved for …

This lecture note is based on a on topics in the non-commutative ring theories given to a
group of graduate students at Tulane University in the fall of 1970. Topics which are covered …

INTRODUCTION All the rings we consider are associative and possess an identity element.
All the modules considered are unitary left modules. Unless otherwise mentioned by an …

The triple (G,?,*) is said to be a left near ring if (G,+) is a group,(G,*) is a semi-group, and* is
left distributive over+, ie for a, b, cEG, a*(b+ c)= a* b+ a* c. The definition and theory for right …