[PDF][PDF] Quasi-invertibility Monoform Modules

MA Ahmed - Iraqi Journal of Science, 2023 - iasj.net
The main goal of this paper is to introduce a new class in the category of modules. It is called
quasi-invertibility monoform (briefly QI-monoform) modules. This class of modules is a …

[PDF][PDF] Rational extending modules and Strongly quasi-monoform modules

MS Abbas, MA Ahmed - Al-Mustansiriya J. sci, 2011 - iasj.net
An R-module M is called rationally extending if each submodule of M is rational in a direct
summand of M. In this paper we study this class of modules which is contained in the class …

A Research on the Generalizations of Modules Whose Submodules are Isomorphic to a Direct Summand

F Karabacak, Ö Taşdemir - Erzincan University Journal of Science …, 2024 - dergipark.org.tr
A module M is called virtually semisimple (resp. virtually extending) if every submodule
(resp. complement submodule) of M is isomorphic to a direct summand of M. It is known that …

Primitive submodules, co-semisimple and regular modules

M Medina-Bárcenas, AÇ Özcan - Taiwanese Journal of …, 2018 - projecteuclid.org
1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 22, No. 3, pp. 545–565,
June 2018 DOI: 10.11650/tjm/171102 Primitive Submodules, Co-semisimple and Regular …

[引用][C] When some complement of an exact fully invariant submodule is a direct summand

A Tercan, CC Yucel - Asian-European Journal of Mathematics, 2024 - World Scientific
In this paper, we study modules with the property that every exact fully invariant submodule
has a complement which is a direct summand. This new class of modules properly contains …

[PDF][PDF] The Dual Notion of St-Polyform Modules

MA Ahmed, NR Adeeb - Iraqi Journal of Science, 2021 - iasj.net
In the year 2018, the concept of St-Polyform modules was introduced and studied by Ahmed,
where a module M is called St-Polyform, if for every submodule N of M and for any …

[PDF][PDF] ON T-HOLLOW-LIFITING MODULES

SM Yaseen, AA Elewi - Iraqi Journal of Science, 2019 - iasj.net
T المقاسات الرفع المجوفة من النمط Page 1 Yaseen and Elewi Iraqi Journal of Science, 2019, Vol.60,
No.11, pp: 2486-2489 DOI: 10.24996/ijs.2019.60.11.20 …

[PDF][PDF] AP-INJECTIVE MODULES

AK Chaturvedi, S Kumar - Palestine Journal of Mathematics, 2023 - pjm.ppu.edu
We introduce the notion of almost pseudo-injective modules (AP-injective modules), which
generalizes the idea of pseudo-injective and almost injective modules. In support, we …

[PDF][PDF] On Q-Injective, Duo Submodules of C1-Module

AF Talak, MM Abed - Journal of University of Anbar for Pure Science, 2021 - iasj.net
This note investigates modules having quasi-injective and duo submodules. We introduce a
new generalization of-module. The main method that was adopted in this generalization is …

P-Polyform Modules

MM Baher, MA Ahmed - Iraqi Journal of Science, 2024 - ijs.uobaghdad.edu.iq
An R-module M is called polyform if every essential submodule of M is rational. The main
goal of this paper is to give a new class of modules named P-polyform modules. This class …