Abstract Let $\mathcal {R} $ be a commutative ring with 1, and Let M be a (left) R-module. M
is said to be pointwise projective if for each epimorphism ${\alpha}:\mathcal {A}{\rightarrow} …

In this paper we give the following main results:(ⅰ) Let F (?) and G (?) be two free modules.
Then F (?) and G (?) are semi-linearly isomorphic if and only if End F (?) and End G (?) are …

We say that a ring K is (right) split by a subring A provided that A is an (right) A-module direct
summand of K. Then K is said to be a split extension of A. By a theorem of Azumaya [lJ, a …

Let M and N be right R-modules. Hom (M, N) is called regular if for each f∈ Hom (M, N),
there exists g∈ Hom (N, M) such that f= fgf. Let [M, N]= Hom R (M, N). We prove that if M is …

Let N be a left R-module with the endomorphism ring S= End (RN). Given two cardinal
numbers α and β and a matrix A∈ S β× α, N is called flat relative to A in case, for each x∈ lN …

We introduce the notion of almost pseudo-injective modules (AP-injective modules), which
generalizes the idea of pseudo-injective and almost injective modules. In support, we …

In this paper, we introduce a proper generalization of that of Hopfian modules, called
$\gamma $-Hopfian modules. A right $ R $-module $ M $ is said to be $\gamma $-Hopfian, if …

We introduce the notion of an automorphism liftable module and give a characterization to it.
We prove that category equivalence preserves automorphism liftable. Furthermore, we …

QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES Page 1 Canad. Math. Bull. Vol. 18
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …

We study the transfer of properties of some types of modules under identity preserving ring
homomorphisms. These studies seem to be overlooked in literature. We have picked a few …