The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

On indecomposable injectives over artinian rings Page 1 Pacific Journal of Mathematics ON
INDECOMPOSABLE INJECTIVES OVER ARTINIAN RINGS KENT RALPH FULLER Vol. 29 …

In this paper the following results are proved:(i) Three classes of left QF-3 rings are closed
under taking left quotient rings respectively.(ii) A subcategory of left modules having …

The Structure of QF-3 Rings Page 1 THE STRUCTURE OF QF-3 RING S(1) BY KENT R. FULLER
Introduction. In '[12] Thrall introdcuced three generalizations of the quasiFrobenius (=QF) …

A ring R (with identity) is semi-primary if it contains a nilpotent ideal N with R/N semi-simple
with minimum condition. R is called a left QF-3 ring if it contains a faithful projective injective …

The notion of QF-3 rings was introduced originally by RM Thrall [13] for the case of finite
dimensional algebras over a field. Recently this notion has been extended to the case of …

Mochizuki has considered a hereditary QF-3 algebra in [6]. In this note we shall study a PP-
ring with minimal condition or of semi-primary. To this purpose we generalize a notion of QF …

In this paper we study the structure of splitting rings for the Goldie torsion theory. First it is
shown that a splitting ring has a triangular matrix structure which reduces the study of …

On montre (section 3) que l'existence de certains ideaux injectifs Ae et fA (e et f idempotents)
dans un anneau A equivaut a l'existence d'une dualite de Morita definie par le bimodule …

QF-3 rings with ascending chain condition on annihilators Page 1 QF-3 rings with ascending
chain condition on annihilators By Edgar A. Rutter, Jr. at Lawrence In this paper a ring with …