Survey on generalizations of Hopficity of modules

AE Moussaouy - arXiv preprint arXiv:2306.01883, 2023 - arxiv.org
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} …

[PDF][PDF] A new generalization of Hopfian modules

A El Moussaouy, MH Ziane - Palestine Journal of Mathematics, 2023 - pjm.ppu.edu
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 …

[PDF][PDF] Jacobson monoform modules

A El Moussaouy - Journal of Algebraic Systems, 2023 - jas.shahroodut.ac.ir
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 …