Throughout this paper, R denotes an associative ring with identity and all modules are
unitary. A right R-module M is called principally injective briefly, p-injective) if for any …

A right FPF ring is one over which every finitely generated faithful right module is a
generator. The main purpose of the article is to givp the following cnaracterization of certain …

Generalizing concepts “right Bezout” and “principal right ideal” of a ring R to modules, an R-
module M is called n-epiretractable (resp. epi-retractable) if every n-generated submodule …

Let C be a class of some finitely presented left R-modules. A left R-module M is called C-
injective, if Ext R 1 (C, M)= 0 for each C∈ C. A right R-module M is called C-flat, if Tor 1 R …

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 …

1. Introduction In [5], Nicholson and Yousif called a ring R right principallv in iective (P-in.
jective) if every R-ho~ nomorphism from a principal right ideal to 11 is left multiplication by …

An useful tool in the study of the endomorphism ring S of a quasi-injective left R-module U is
the duality defined by RUS which has been recently investigated in several papers ([7],[15]) …

For each positive integer n, we temporarily say that a ring R is n-PF (^-pseudo-Frobenius) if
every faithful right i?-module generated by at most n elements is a generator for the category …

1. Introduction. Let R be a ring (associative and with identity). It is easy to see that every left
ideal of R is the (left) annihilator of a finite subset of R if and only if every cyclic left R-module …

In this paper we assume that every ring R is an associative ring with identity and R is two-
sided artinian. The author has defined almost projective modules and almost injective …