⊕ μ*–essential – Supplemented
Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
Annihilator Essential Submodules
Abstract<p>Through this paper R represent a commutative ring with identity and all R-modules are unitary left R-modules. In this work we consider a generalization of the class of essential submodules namely annihilator essential submodules. We study the relation between the submodule and his annihilator and we give some basic properties. Also we introduce the concept of annihilator uniform modules and annihilator maximal submodules.</p>
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Publication Date
Sat Jan 01 2022
Journal Name
International Journal Of Early Childhood Special Education (int-jecse)
Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
ESSENTIAL T-hollow-lifting module
Abstract<p>Let M be a R-module, where R be a commutative ring with identity, In this paper, we defined a new kind of module namely ET-hollow lifting module, Let T be a submodule of M, M is called ET-hollow lifting module if for every sub-module H of M with <inline-formula>
<tex-math><?CDATA $\frac{M}{H}$?></tex-math>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mrow>
<mfrac>
<mi>M</mi>
<mi>H</mi>
</mfrac>
</mrow>
</math></inline-formula></p>
... Show More
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Publication Date
Sun Sep 04 2016
Journal Name
Baghdad Science Journal
Some Results on Weak Essential Submodules
"Semiprime submodule
Essential submodules
Weak essential submodules
Weak uniform modules
Fully semi-semiprime modules and Fully essential* modules."
Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.
Publication Date
Sun Sep 04 2016
Journal Name
Baghdad Science Journal
Some Results on Weak Essential Submodules
Semiprime submodule
Essential submodules
Weak essential submodules
Weak uniform modules
Fully semi-semiprime modules and Fully essential* modules.
Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.
Publication Date
Mon Feb 01 2021
Journal Name
Journal Of Physics: Conference Series
Essential T-small quasi-Dedekind modules
Abstract<p>Let M be an R-module, where R be a commutative; ring with identity. In this paper, we defined a new kind of submodules, namely T-small quasi-Dedekind module(T-small Q-D-M) and essential T-small quasi-Dedekind module(ET-small Q-D-M). Let T be a proper submodule of an R-module M, M is called an (T-small Q-D-M) if, for all f ∊ End(M), f ≠ 0, implies <italic>Kerf</italic> is an T-small submodule of M <italic>(Kerf</italic>«<sub>T</sub>
<italic>M)</italic>, if T≠ 0 then T ⊈ <italic>Kerf</italic>. In case <italic>Kerf</italic> is an essential T-small submodule of M <italic>(Kerf <<</italic></p>
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Publication Date
Wed Jun 26 2019
Journal Name
Iraqi Journal Of Science
H-essential Submodules and Homessential Modules
Essential submodules
H-essential submodules
Homessential modules
The main goal of this paper is introducing and studying a new concept, which is named H-essential submodules, and we use it to construct another concept called Homessential modules. Several fundamental properties of these concepts are investigated, and other characterizations for each one of them is given. Moreover, many relationships of Homessential modules with other related concepts are studied such as Quasi-Dedekind, Uniform, Prime and Extending modules.
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Publication Date
Wed Oct 18 2023
Journal Name
Iraqi National Journal Of Nursing Specialties
Assessment of Patients’ Compliance with Essential Hypertension
patients’ compliance
essential hypertension
complications .
Objective:
This study aims to asses the patients' compliance with essential hypertension in respect to antihypertensive
medications, follow-up, dietary pattern and health habits, to identify the associated long-term complications, and
to find out the relationship between patient's compliance, and demographic characteristics such as age, gender,
level of education, and duration of disease.
Methodology:
A descriptive study was carried out in Nasiriyah Teaching Hospital to achieve presented objectives .
Results:
The results of the study revealed that there were a significant association between educational level and total
patient's compliance, a significant association was found between the duration of disease and
Publication Date
Sun Nov 04 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Assessment of Patients’ Compliance with Essential Hypertension
patients’ compliance
essential hypertension
complications .
Objective:
This study aims to asses the patients' compliance with essential hypertension in respect to antihypertensive
medications, follow-up, dietary pattern and health habits, to identify the associated long-term complications, and
to find out the relationship between patient's compliance, and demographic characteristics such as age, gender,
level of education, and duration of disease.
Methodology:
A descriptive study was carried out in Nasiriyah Teaching Hospital to achieve presented objectives .
Results:
The results of the study revealed that there were a significant association between educational level and total
patient's compliance, a significant association was found between the duration of disease and
Publication Date
Sat Dec 01 2018
Journal Name
Al-nahrain Journal Of Science