This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful 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 …

Baer's Criterion of injectivity implies that injectivity of a module is a factorization property with
respect to\a single monomorphism. Using the notion of a cotorsion pair, we study …

A right R-module is called R-projective if it is projective relative to the right R-module R R. A
ring R is called right testing for projectivity if every right R-projective module is projective …

Abstract Baer's Criterion for Injectivity is a useful tool of the theory of modules. Its dual
version (DBC) is known to hold for all right perfect rings, but its validity for the non-right …

In this paper, we construct a local artinian ring R with Jacobson radical W such that W 2= 0,
Q= R/W is commutative, dim (QW)= 1 and dim (WQ)= 2. Then we show that, for this ring R …

Full article: Rad-Projective and Strongly Rad-Projective Modules Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

A right $ R $-module $ M $ is called $ R $-projective provided that it is projective relative to
the right $ R $-module $ R_ {R} $. This paper deals with the rings whose all nonsingular …

A module over a ring R is R-projective if it is projective relative to R. This module-theoretic
notion is dual to the notion of an R-injective module that plays a key role in the classic Baer's …

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∀ …