Rings in which each finitely generated right ideal is automorphism-invariant (right fa-rings)
are shown to be isomorphic to a formal matrix ring. Among other results it is also shown that …

From [2J and [g, R is saidto be right GFC (right FPF) if every faithful cyclic (finitely generated)
right R-module generates the category of right R-modules. Strongly right bounded rings play …

Let R be a ring. The following results are proven. 1. If R is semilocal, right Kasch and right
simple-injective, then R is semiperfect, left and right finitely cogenerated. 2. If R is left perfect …

A result of Ginn and Moss asserts that a left and right noetherian ring with essential right
socle is left and right artinian. There are examples of right finitely embedded rings with ACC …

This note discusses the structure of a ring R with the ascending chain condition (= acc) on
annihilator left ideals having the property that each module homomorphism from a principal …

Quasi-frobenius (= QF) rings have many interesting characterizations. One such, due to
Ikeda [17] is that these rings are right (left) artinian and right (left) self-injective. Thus, if R is …

Although the notion of the maximal quotient ring of a nonsingular ring has been around for
some time, not much is known about its structure in general beyond the important theorems …

1. Introduction, In this paper we prove several theorems about rings having a generous
supply of projective injective modules. This is a curious class of rings. For instance, every …

Extending modules which are direct sums of injective modules and semisimple modules Page 1
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …

PM Cohn [6] has defined the notion of a pure submodule. Subsequently CP Walker [21], B.
StenstrSm [19] and DP Choudhury and K. Tewari [5] have introduced notions of copurity as …