Modules in which every surjective endomorphism has a -small kernel

A El Moussaouy, MH Ziane - ANNALI DELL'UNIVERSITA'DI FERRARA, 2020 - Springer
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 …

Modules whose surjective endomorphisms have a -small kernels

A El Moussaouy, MH Ziane - Algebraic Structures and Their …, 2022 - as.yazd.ac.ir
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 …

Generalizations of decomposition theorems known over perfect rings

S Mohamed, S Singh - Journal of the Australian Mathematical …, 1977 - cambridge.org
In this paper we introduce and study the notion of dual continuous (d–continuous) modules.
A decomposition theorem for ad–continuous module is proved; this generalizes all known …

Rings with quasi-projective left ideals

S Jain, S Singh - Pacific Journal of Mathematics, 1975 - msp.org
A ring R is a left qp-ring if each of its left ideals is quasi-projective as a left R-module in the
sense of Wu and Jans. The following results giving the structure of left qp-rings are obtained …

A characterization of uniserial rings via continuous and discrete modules

SK Jain, SR López-Permouth, ST Rizvi - Journal of the Australian …, 1991 - cambridge.org
It is well-known that quasi-Frobenius rings are characterized by the property that all
propective right modules are injective, as well as by the property that all injective right …

On H-supplemented modules over a right perfect ring

I Kikumasa, Y Kuratomi - Communications in Algebra, 2018 - Taylor & Francis
In 1971, Koehler proved a structure theorem for quasi-projective modules over right perfect
rings by using results of Wu–Jans. Later Mohamed–Singh studied discrete modules over …

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} …

Semiperfect rings with quasi-projective left ideals

SC Goel, SK Jain - Mathematical Journal of Okayama …, 1976 - ousar.lib.okayama-u.ac.jp
Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 19, Issue 1 1976 Article 7 DECEMBER 1976 Semiperfect rings with quasi-projective …

Primary rings and double centralizers

K Fuller - Pacific Journal of Mathematics, 1970 - msp.org
This note is devoted to proving the theorem that every right quasi-projective module over a
semi-primary ring R has the double centralizer property if and only if R is a direct sum of …

Down closed-quasi-injectivity of partially ordered acts

M Yavari - Journal of Algebra and Its Applications, 2024 - World Scientific
Action of a pomonoid on partially ordered sets (S-posets) has beautiful aspects in practical
subjects such as automata theory, projection algebra and theoretical computer science …