A study of the structure of semi-perfect rings [7] defined in i960 by Hyman Bass [1], shows
that they include the classical Artinian rings and semi-primary rings with nil-radical. Thus …

Rings for which all modules have projective covers or for which all finitely generated
modules have projective covers have been studied extensively. These are the perfect and …

This paper determines the structure of finite rings whose two sided ideals are principal as left
ideals, and as right ideals. Such rings will be called principal ideal rings. Although finite …

We have defined a new concept of almost relative projectivity [7], If a module Mo is M,-
ρrojective for a finite set of modules Miy then Mo is 2,-φ Λff-projective [2]. However this fact is …

In analogy to the elementwise definition of von Neumann regular rings an $ R $-module $ M
$ is called regular if given any element $ m\in M $ there exists $ f\in {\operatorname {Hom} …

This is of course equivalent to the condition that every simple module is either projective or
injective. Theorem 1.1 gives necessary and sufficient conditions for a T-ring to have property …

Ring Ouasi-Frobenius? Page 1 oURNAL OF ALGEBRA 165, 531–542 (1994) When Is a Self-Injective
Semiperfect Ring Ouasi-Frobenius? JOHN CLARK Department of Mathematics and Statistics …

This paper deals with the relationship between a ring T and the idealizer R of a right ideal M
of T.[The ring R is the largest subring of T which contains M as a two-sided ideal.] Assuming …

A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …

A module M is said to satisfy the condition (℘*) if M is a direct sum of a projective module
and a quasi-continuous module. In an earlier paper, we described the structure of rings over …