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jih-2560
Nearly Primary-2-Absorbing Submodules and other Related Concepts
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Our aim in this paper is to introduce the notation of nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule  of an -module  is called nearly primary-2-absorbing submodule if whenever , for , , ,  implies that either  or  or . We got many basic, properties, examples and characterizations of this concept. Furthermore, characterizations of nearly primary-2-absorbing submodules in some classes of modules were inserted. Moreover, the behavior of nearly primary-2-absorbing submodule under -epimorphism was studied.

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Publication Date
Wed May 24 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On Almost Bounded Submodules
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        Let R be a commutative ring with identity, and let M be a unitary R-module. We introduce a concept of almost bounded submodules as follows: A submodule N of an R-module M is called an almost bounded submodule if there exists xÃŽM, xÏN such that annR(N)=annR(x).

        In this paper, some properties of almost bounded submodules are given. Also, various basic results about almost bounded submodules are considered.

        Moreover, some relations between almost bounded submodules and other types of modules are considered.

 

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Publication Date
Wed Aug 09 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On Weakly Prime Submodules
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Let R be a commutative ring with unity and let M be a left R-module. We define a proper submodule N of M to be a weakly prime if whenever  r  R,  x  M, 0  r x  N implies  x  N  or  r  (N:M). In fact this concept is a generalization of the concept weakly  prime ideal, where a proper ideal P of R is called a weakly prime, if for all a, b  R, 0  a b  P implies a  P or b  P. Various properties of weakly prime submodules are considered. 

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Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
On Small Semiprime Submodules
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Abstract<p>Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules. We investigate some basis properties of small semiprime submodules and give some characterizations of them, especially for (finitely generated faithful) multiplication modules.</p>
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Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
J-Small Semiprime Submodules
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Abstract<p>Let <italic>R</italic> be a commutative ring with identity and <italic>Y</italic> be an unitary <italic>R</italic>-module. We say a non-zero submodule <italic>s</italic> of <italic>Y</italic> is a <italic>J –</italic> small semiprime if and only if for whenever <italic>i</italic> ∈ <italic>R, y ∈ Y,(Y)</italic> is small in <italic>Y</italic> and <italic>i<sup>2</sup>y</italic> ∈ <italic>S</italic> + <italic>Rad (Y)</italic> implies <italic>iy</italic> ∈ <italic>S.</italic> In this paper, we investigate some properties and chara</p> ... Show More
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Weakly Small Smiprime Submodules
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Abstract<p>Let <italic>R</italic> be a commutative ring with an identity, and <italic>G</italic> be a unitary left <italic>R</italic>-module. A proper submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is called semiprime if whenever <italic>a ∈ R, y ∈ G, n ∈ Z</italic> <sup>+</sup> and <italic>a<sup>n</sup>y ∈ H</italic>, then <italic>ay ∈ H</italic>. We say that a properi submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is a weakly small semiprime, if whenever <ita></ita></p> ... Show More
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Publication Date
Fri May 01 2015
Journal Name
Journal Of Physics: Conference Series
Spectrum of Secondary Submodules
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Publication Date
Tue Mar 14 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
2-Regular Modules II
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An R-module M is called a 2-regular module if every submodule N of M is 2-pure submodule, where a submodule N of M is 2-pure in M if for every ideal I of R, I2MN = I2N, [1]. This paper is a continuation of [1]. We give some conditions to characterize this class of modules, also many relationships with other related concepts are introduced.

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Publication Date
Sat Apr 30 2022
Journal Name
European Journal Of Pure And Applied Mathematics
e*-Essential small submodules and e*-hollow module
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Publication Date
Sun Dec 01 2013
Journal Name
Baghdad Science Journal
Notes on Approximately Pure Submodules
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Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-module M is said to be approximately pure submodule of an R-module, if for each ideal I of R. The main purpose of this paper is to study the properties of the following concepts: approximately pure essentialsubmodules, approximately pure closedsubmodules and relative approximately pure complement submodules. We prove that: when an R-module M is an approximately purely extending modules and N be Ap-puresubmodulein M, if M has the Ap-pure intersection property then N is Ap purely extending.

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Publication Date
Sat Aug 01 2020
Journal Name
Journal Of Engineering
Urban Morphological Studies (Concepts, Techniques, and Methods)
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Urban morphological approach (concepts and practices) plays a significant role in forming our cities not only in terms of theoretical perspective but also in how to practice and experience the urban form structures over time. Urban morphology has been focused on studying the processes of formation and transformation of urban form based on its historical development. The main purpose of this study is to explore and describe the existing literature of this approach and thus aiming to summarize the most important studies that put into understanding the city form. In this regard, there were three schools of urban morphological studies, namely: the British, the Italian, and the French School. A reflective comparison between t

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