R (finitely cogenerated) injective cogenerator in the category of right R-modules. The ring R
is a QF-ring if it is right PF and right (or left) artinian, and in this case R is two-sided PF and …

Tachikawa showed that a left perfect ring R is an injective cogenerator in the category of all
right R-modules iff there holds:(right FPF) every finitely generated faithful right module …

A ring is called quasi-Frobenius, briefly QF, if it is right (or left) Artinian and right (or left) self-
injective. A ring R is said to be right (left) perfect if every right (left)/?-module has a projective …

Let $ R $ be a ring such that every direct summand of the injective envelope $ E= E (R_R) $
has an essential finitely generated projective submodule. We show that, if the cardinal of the …

It is well-known that a right self-injective, left go-injective regular ring is directly finite, and
then unit-regular (cf.[2, Theorem 9.29].) Also, it is proved in [3, Theorem 1.8] that a right go …

Harada calls a ring $ R $ right simple-injective if every $ R $-homomorphism with simple
image from a right ideal of $ R $ to $ R $ is given by left multiplication by an element of $ R …

The concept of weak relative-injectivity of modules was introduced originally in [10], where it
is shown that a semiperfect ring R is such that every cyclic right module is embeddable …

ON SELF-INJECTIVE PERFECT RINGS Page 1 Canad. Math. Bull. Vol. 39 (1), 1996 pp. 55-58
ON SELF-INJECTIVE PERFECT RINGS DOLORS HERBERA AND AHMAD SHAMSUDDIN …

A ring R is called left IP-injective if every homomorphism from a left ideal of R into R with
principal image is given by right multiplication by an element of R. It is shown that R is left IP …

A ringRis said to be rightP-injective if every homomorphism of a principal right ideal toRis
given by left multiplication by an element ofR. This is equivalent to saying thatlr (a)= Rafor …