Pure projective modules and FP-injective modules over Morita rings

M Yan, H Yao - Frontiers of Mathematics in China, 2020 - Springer
Abstract Let Λ _ (0, 0)=\left (A\;\;\;\;\;\;\; _A N_B _B M_A\;\;\;\; B\cr\right) Λ (0 0)=(AANBBMAB)
be a Morita ring, where the bimodule homomorphisms ϕ and ψ are zero. We study the finite …

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 …

[HTML][HTML] Gorenstein-projective modules over a class of Morita rings

D Asefa - Journal of Mathematics, 2022 - hindawi.com
Research Article Gorenstein-Projective Modules over a Class of Morita Rings Page 1 Research
Article Gorenstein-Projective Modules over a Class of Morita Rings Dadi Asefa Department of …

RSS equivalences over a class of Morita rings

N Gao, J Ma, XY Liu - Journal of Algebra, 2021 - Elsevier
For two bimodules NBA and MAB with M⊗ AN= 0= N⊗ BM, the monomorphism category M
(A, M, N, B) and its dual, the epimorphism E (A, M, N, B), are introduced and studied. By …

Ding projective modules over Morita context rings

D Asefa - Communications in Algebra, 2024 - Taylor & Francis
Full article: Ding projective modules over Morita context rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …

Modules in which every surjective endomorphism has a -small kernel

SE Atani, M Khoramdel… - Algebra and Discrete …, 2019 - admjournal.luguniv.edu.ua
In this paper, we introduce the notion of\(\delta\)-Hopfian modules. We give some properties
of these modules and provide a~ characterization of semisimple rings in terms of\(\delta\) …

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 injective endomorphisms are essential

A Haghany, MR Vedadi - Journal of Algebra, 2001 - Elsevier
An R-module M is called weakly co-Hopfian if any injective endomorphism of M is essential.
The class of weakly co-Hopfian modules lies properly between the class of co-Hopfian and …

[PDF][PDF] Notes on Generalizations of Hopfian and co-Hopfian modules

A El Moussaouy, M Ziane - Jordan J. Math. Stat, 2022 - journals.yu.edu.jo
A module M is called semi co-Hopfian (resp. semi Hopfian) if any injective (resp. surjective)
endomorphism of M has a direct summand image (resp. kernel). We show that if M is semi …

Counterinjective modules and duality

JLG Pardo - Journal of Pure and Applied Algebra, 1989 - Elsevier
We study the modules RU which are injective over their endomorphism ring and we apply
the results obtained to faithfully balanced bimodules and rings with Morita duality. We also …