Recently, the rings whose injective right modules are R-projective (respectively, max-
projective) were investigated and studied in [2]. Such ring are called right almost-QF …

In this thesis, for some classes of rings including, local, semilocal right semihereditary and
right Noetherian right nonsingular, we obtain some conditions that equivalent to being right …

The main purpose of this thesis is to study R-projectivity and max-projectivity of some
classes of modules, and module classes related to max-projective modules. A right R …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …

Let R be a ring, na fixed nonnegative integer and F n the class of all left R-modules of flat
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …

It is well-known that a ring R is right PF if and only if it is semiperfect and right self-injective
with essential right socle. In this note, it is shown that a ring R is right PF if and only if u. dim …

Following, a ring R is called right almost-perfect if every flat right R-module is projective
relative to R. In this article, we continue the study of these rings and will find some new …

We refer to those injective modules that determine every left exact preradical and that we
called main injective modules in a preceding article, and we consider left main injective …

In this paper, we characterize strongly right C 2-rings in terms of finite-direct-injective
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …