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J-semi regular modules
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Abstract<p>Let <italic>R</italic> be a ring with identity and let <italic>M</italic> be a left R-module. <italic>M</italic> is called J-semiregular module if every cyclic submodule of <italic>M</italic> is J-lying over a projective summand of <italic>M</italic>, The aim of this paper is to introduce properties of J-semiregular module Especially, we give characterizations of J-semiregular module. On the other hand, the notion of J-semi hollow modules is studied as a generalization of semi hollow modules, finally <italic>F</italic>-J-semiregular modules is studied as a generalization of <italic>F</italic>-semiregular modules.</p>
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Publication Date
Sat Jan 01 2022
Journal Name
Iraqi Journal Of Science,
F-J-semi Regular Modules Department
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Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
⊕-J-supplemented modules
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Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
On J–Lifting Modules
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Abstract<p>Let R be a ring with identity and M is a unitary left R–module. M is called J–lifting module if for every submodule N of M, there exists a submodule K of N such that <inline-formula> <tex-math><?CDATA ${\rm{M}} = {\rm{K}} \oplus \mathop {\rm{K}}\limits^\prime,\>\mathop {\rm{K}}\limits^\prime \subseteq {\rm{M}}$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll"> <mrow> <mi mathvariant="normal">M</mi> <mo>=</mo> <mi mathvariant="normal">K</mi></mrow></math></inline-formula></p> ... Show More
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Publication Date
Sun Dec 04 2011
Journal Name
Baghdad Science Journal
Approximate Regular Modules
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There are two (non-equivalent) generalizations of Von Neuman regular rings to modules; one in the sense of Zelmanowize which is elementwise generalization, and the other in the sense of Fieldhowse. In this work, we introduced and studied the approximately regular modules, as well as many properties and characterizations are considered, also we study the relation between them by using approximately pointwise-projective modules.

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Publication Date
Tue Jan 01 2002
Journal Name
Iraqi Journal Of Science
On Regular Modules
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Let R be a commutative ring with identity, and let M be a unitary left R-module. M is called Z-regular if every cyclic submodule (equivalently every finitely generated) is projective and direct summand. And a module M is F-regular if every submodule of M is pure. In this paper we study a class of modules lies between Z-regular and F-regular module, we call these modules regular modules.

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Publication Date
Mon Aug 01 2022
Journal Name
Journal Of Physics: Conference Series
Approximately Regular Rings and Approximately Regular Modules
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Abstract In this work we introduce the concept of approximately regular ring as generalizations of regular ring, and the sense of a Z- approximately regular module as generalizations of Z- regular module. We give many result about this concept.

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Publication Date
Fri Oct 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Semi-Small Compressible Modules and Semi-Small Retractable Modules
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Let  be a commutative ring with 1 and  be left unitary  . In this paper we introduced and studied concept of semi-small compressible module (a     is said to be semi-small compressible module if  can be embedded in every nonzero semi-small submodule of . Equivalently,  is  semi-small compressible module if there exists a monomorphism  , ,     is said to be semi-small retractable module if  , for every non-zero  semi-small sub module in . Equivalently,  is semi-small retractable if there exists a homomorphism  whenever  .     In this paper we introduce and study the concept of semi-small compressible and semi-small retractable s as a generalization of compressible  and retractable  respectively and give some of their adv

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Publication Date
Sun Dec 02 2012
Journal Name
Baghdad Science Journal
Semi – Bounded Modules
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Let R be a commutative ring with identity, and let M be a unity R-module. M is called a bounded R-module provided that there exists an element x?M such that annR(M) = annR(x). As a generalization of this concept, a concept of semi-bounded module has been introduced as follows: M is called a semi-bounded if there exists an element x?M such that . In this paper, some properties and characterizations of semi-bounded modules are given. Also, various basic results about semi-bounded modules are considered. Moreover, some relations between semi-bounded modules and other types of modules are considered.

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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
Semi-essentially prime modules
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Let R be a commutative ring with 1 and M be a (left) unitary R – module. This essay gives generalizations for the notions prime module and some concepts related to it. We termed an R – module M as semi-essentially prime if annR (M) = annR (N) for every non-zero semi-essential submodules N of M. Given some of their advantages characterizations and examples, and we study the relation between these and some classes of modules.

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Publication Date
Sat Jul 15 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Some games via semi-generalized regular spaces
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In this research, a new application has been developed for games by using the generalization of the separation axioms in topology, in particular regular, Sg-regular and SSg- regular spaces. The games under study consist of two players and the victory of the second player depends on the strategy and choice of the first player. Many regularity, Sg, SSg regularity theorems have been proven using this type of game, and many results and illustrative examples have been presented

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