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ijs-12368
On Right (σ,τ)- Derivation of Prime Rings
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Let R be a prime ring and δ a right (σ,τ)-derivation on R. In the present paper we will prove the following results:
First, suppose that R is a prime ring and I a non-zero ideal of R if δ acts as a homomorphism on I then δ=0 on R, and if δ acts an anti- homomorphism on I then either δ=0 on R or R is commutative.
Second, suppose that R is 2-torsion-free prime ring and J a non-zero Jordan ideal and a subring of R, if δ acts as a homomorphism on J then δ=0 on J, and if δ acts an anti- homomorphism on J then either δ=0 on J or J
Z(R).

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Publication Date
Fri Dec 15 2017
Journal Name
Journal Of The College Of Education For Women
Identity in Sonia Sanchez's Poem "right on: white america" :A Stylistic Study
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Language is an important means through which one can construct one's social world. Accordingly, the way we view ourselves and the world is basically formed by language use whereby identities, relations, and values are constructed and maintained. Most discourse analysts consider narrative not only the locus of construction and enactment of identity, but also a distinguished genre for its analysis.The present study is concerned with how identity can poetically be informed, hence exploring the way black poets use language when reflecting their identity and culture. The poem, right on: white america by the black American poetess Sonia Sanchez, is chosen to be analyzed based on Simpson's stylistic model (2004). In this model, the ana

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Publication Date
Mon May 20 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Approximaitly Prime Submodules and Some Related Concepts
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In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity. A proper submodule  of an -module  is called an approximaitly prime submodule of  (for short app-prime submodule), if when ever , where , , implies that either  or . So, an ideal  of a ring  is called app-prime ideal of  if   is an app-prime submodule of -module . Several basic properties, characterizations and examples of approximaitly prime submodules were given. Furthermore, the definition of approximaitly prime radical of submodules of modules were introduced, and some of it is properties were established.

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Publication Date
Thu Jan 20 2022
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fuzzy Soc-Semi-Prime Sub-Modules
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     In this paper, we study a new concept of fuzzy sub-module, called  fuzzy socle semi-prime sub-module that is a generalization the concept of semi-prime fuzzy sub-module and fuzzy of approximately semi-prime sub-module in the ordinary sense.  This leads us to introduce level property which studies the relation between the ordinary and fuzzy sense of approximately semi-prime sub-module. Also, some of its characteristics and notions such as the intersection, image and external direct sum of fuzzy socle semi-prime sub-modules are introduced. Furthermore, the relation between the fuzzy socle semi-prime sub-module and other types of fuzzy sub-module presented.

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Publication Date
Thu Aug 31 2023
Journal Name
Journal Of Legal Sciences
Constitutional protection of the Human Right Dignity in UAE Law
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God Almighty created Man and made him his successor on Earth. He honored him above all other creatures and granted him all means to protect his human dignity, yet to date some societies violate and breach that protection. We are still hearing of the persecution of blacks in the USA and murdering Muslims in foreign countries even though these groups are entitled to the right to human dignity. The right to human dignity is a sacred right that is guaranteed for all individuals regardless of their color, sex, race, religion or origin. The real problem we are facing is that many societies do not provide sufficient protection for this right and do not put penalties and punishment in case this right is violated. There are numerous forms of the

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Publication Date
Tue Jan 18 2022
Journal Name
Iraqi Journal Of Science
En-prime Subacts over Monoids with Zero
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Throughout this paper S will be denote a monoids with zero. In this paper, we introduce the concept of En- prime subact, where a proper subact B of a right S- act As is called En- prime subact if for any endomorphism f of As and a As with f(a)S⊆ Bimplies that either a B or f(As) ⊆ B. The right S-act As is called En-prime if the zero subact of As is En-prime subact. Some various properties of En-prime subact are considered, and also we study some relationships between En-prime subact and some other concepts such as prime subact and maximal subact. 

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Publication Date
Sun Sep 29 2019
Journal Name
Iraqi Journal Of Science
Dependent Element and Free Actions of Centralizer and Reverse Centralizer on Prime and Semiprime Semirings
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     This paper develops the work of Mary Florence et.al. on centralizer of semiprime semirings and presents reverse centralizer of semirings with several propositions and lemmas. Also introduces the notion of dependent element and free actions on semirings with some results of free action of centralizer and reverse centralizer on semiprime semirings and some another mappings.

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Publication Date
Thu Apr 28 2022
Journal Name
Iraqi Journal Of Science
Generalized Strong Commutativity Preserving Centralizers of Semiprime Rings
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Let R be a semiprime ring with center Z(R) and U be a nonzero ideal of R. An additive mappings are called right centralizer if ( ) ( ) and ( ) ( ) holds for all . In the present paper, we introduce the concepts of generalized strong commutativity centralizers preserving and generalized strong cocommutativity preserving centralizers and we prove that R contains a nonzero central ideal if any one of the following conditions holds: (i) ( ) ( ), (ii) [ ( ) ( )] , (iii) [ ( ) ( )] [ ], (iv) ( ) ( ) , (v) ( ) ( ) , (vi) [ ( ) ( )] , (vii) ( ) ( ) ( ), (viii) ( ) ( ) for all .

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Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
Some Generalizations of Semisimple Gamma Rings
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In this paper we introduce and study the concepts of semisimple gamma modules , regular gamma modules and fully idempotent gamma modules as a generalization of semisimple ring. An module is called fully idempotent (semisimple , regular) if for all submodule of (every submodule is a direct summand, for each , there exists and such that . We study some properties and relationships between them.

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Publication Date
Fri Aug 28 2020
Journal Name
Iraqi Journal Of Science
Maximal Ideal Graph of Commutative Rings
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In this paper, we introduce and study the notion of the maximal ideal graph of a commutative ring with identity. Let R be a commutative ring with identity. The maximal ideal graph of R, denoted by MG(R), is the undirected graph with vertex set, the set of non-trivial ideals of R, where two vertices I1 and I2 are adjacent if I1 I2 and I1+I2 is a maximal ideal of R. We explore some of the properties and characterizations of the graph.

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Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Approximaitly Semi-Prime Submodules and Some Related Concepts
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    We introduce in this paper the concept of approximaitly semi-prime submodules of unitary left -module  over a commutative ring  with identity as a generalization of a prime submodules and semi-prime submodules, also generalization of quasi-prime submodules and approximaitly prime submodules. Various basic properties of an approximaitly semi-prime submodules are discussed, where a proper submodule  of an -module  is called an approximaitly semi-prime submodule of  , if whenever , where ,  and , implies that . Furthermore the behaviors of approximaitly semi-prime submodule in some classes of modules are studied. On the other hand several characterizations of this concept are

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