All rings in this work are right ring and all modules is right module (mod) X over a ring R. A
mod X is said to be nearly maximal projective (for short; Ner. Mx. Pro. Mod)) if∀ …

Let R be a ring with an identity. A right R-module is said to be R-projective if every
homomorphism from M to R/I can be lifted to a homomorphism from M to R, for each right …

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 …

We prove that a ring R has a module M whose domain of projectivity consists of only some
injective modules if and only if R is a right noetherian right V-ring. Also, we consider …

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 …

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 …

A ring R is a right max ring if every right module M≠ 0 has at least one maximal submodule.
It suffices to check for maximal submodules of a single module and its submodules in order …

The purpose of this paper is to initiate the study of improjective modules. A module X is im-
projective if given any epimorphism/: B-> A and any homomorphism/: X-> A, there exists a …

Let R be a ring with identity and M a unital right R-module. Let Z*(M)={m epsilon M: mR<< E
(mR)}. In this study we consider the property (T): For every right R-module M with Z*(M) …

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 …