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 …

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 …

Let M be a module over a ring R. We call M, γ γ-H-supplemented provided for every
submodule N of M there is a direct summand D of M such that M= N+ XM= N+ X if and only if …

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} …

In this paper we introduce a new generalization of small submodules, namely γ-small
submodules. We call a submodule K of a module M, γ-small provided M= K+ L with M/L …

In this paper, we introduce and study the concept of Jacobson monoform modules whichis a
proper generalization of that of monoform modules. We present a characterization of …

In this paper we introduce the concepts of CD-rings and CD-modules. Let R be a ring and M
be an R-module. We call R a CD-ring in case every cosingular R-module is discrete, and M …

In this work, we introduce $ H^* $-condition on the set of submodules of a module. Let $ M $
be a module. We say $ M $ satisfies $ H^* $ provided that for every submodule $ N $ of $ M …

Let R be a ring and M a right R-module. We call M, a δ (M)-coretractable module if for every
proper submodule N of M containing δ (M), there is a nonzero homomorphism from M/N to …

Let M be a right module over a ring R. In this manuscript, we shall study on a special case of
F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We …