The concept of Hopfian modules has been extensively studied in the literature. In this paper,
we introduce and study the notion of δ-weakly Hopfian modules. The class of δ-weakly …

In this paper we introduce the notion of μ μ-Hopfian modules which is a proper
generalization of that of Hopfian modules. We give some characterizations and properties of …

The study of modules by properties of their endomorphisms has long been of interest. In this
paper, we introduce the notion of jacobson weakly Hopfian modules. It is shown that over a …

In this paper, we introduce the notion of µ-weakly Hopfian modules which is a new
generalization of Hopfian modules. It is shown that over a ring R, every quasi-projective …

The main aim of this paper is the Hopficity of module classes, the study of modules (rings) by
properties of their endomorphisms is a classical research subject. In 1986, Hiremath\cite {Hi} …

We carry out an extensive study of modules MR with the property that M/f (M) is singular for
all injective endomorphisms f of M. Such modules called “quasi co-Hopfian”, generalize co …

An R-module M is called weakly Hopfian (respectively generalized co-Hopfian) if for every
small epimorphism (respectively essential monomorphism) f of M is isomorphism. If M is …

The concept of Hopfian modules has been extensively studied in the literature. In this paper
we introduce the notion of T-weakly Hopfian modules which is a proper generalization of …

An R-module M is called δ-weakly Hopfian if any δ-small surjective endomorphism of M is
an automorphism. In this paper we explore various properties of δ-weakly Hopfian modules …

In this paper, we properly generalize the notion of co-Hopficity for modules to the concept of
closed co-Hopficity. A module M is said to be closed co-Hopfian if any injective …