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bsj-7317
Generalized Left Derivations with Identities on Near-Rings
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In this paper, new concepts which are called: left derivations and generalized left derivations in nearrings have been defined. Furthermore, the commutativity of the 3-prime near-ring which involves some
algebraic identities on generalized left derivation has been studied.

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Publication Date
Sun May 30 2021
Journal Name
Iraqi Journal Of Science
SOME RESULTS ABOUT GENERALIZED SEMIDERIVATIONS IN 3-PRIME NEAR-RINGS
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   The purpose of this paper is to extend some results concerning generalized derivations to generalized semiderivations of 3-prime near rings.

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Publication Date
Wed Feb 16 2022
Journal Name
Iraqi Journal Of Science
Generalized Permuting 3-Derivations of Prime Rings
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This work generalizes Park and Jung's results by introducing the concept of generalized permuting 3-derivation on Lie ideal.

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Publication Date
Wed Nov 30 2022
Journal Name
Iraqi Journal Of Science
Jordan generalized Γ- (σ,τ) -Derivation on Prime Γ-Near Rings
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      In this paper, we introduce the notion of Jordan generalized Derivation on prime and then some related concepts are discussed. We also verify that every Jordan generalized Derivation is generalized Derivation when  is a 2-torsionfree prime .

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Publication Date
Fri Jan 01 2021
Journal Name
Advances In Intelligent Systems And Computing
Γ-n-Derivations on Semigroup Ideals on Prime Γ-Near-Rings
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Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
Commutativity Results for Multiplicative (Generalized) (α,β) Reverse Derivations on Prime Rings
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Let  be a prime ring,  be a non-zero ideal of  and   be automorphism on. A mapping  is called a multiplicative (generalized)  reverse derivation if  where  is any map (not necessarily additive). In this paper, we proved the commutativity of a prime ring R admitting a multiplicative (generalized)  reverse derivation  satisfying any one of the properties:

 

 

 for all x, y  

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Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
Semi-group Ideals on prime and semiprime Γ-Near - Rings with Γ- (λ,δ) – derivations
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Abstract<p>Let h is Γ<sub>−(λ,δ) –</sub> derivation on prime Γ<sub>−</sub>near-ring G and K be a nonzero semi-group ideal of G and δ(K) = K, then the purpose of this paper is to prove the following :- (a) If λ is onto on G, λ(K) = K, λ(0) = 0 and h acts like Γ<sub>−</sub>hom. or acts like anti–Γ<sub>−</sub>hom. on K, then h(K) = {0}.(b) If h + h is an additive on K, then (G, +) is abelian.</p>
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Publication Date
Sun Jun 02 2019
Journal Name
Baghdad Science Journal
On Skew Left n-Derivations with Lie Ideal Structure
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In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and  the commutativity of Lie ideal under certain conditions were proved.

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Publication Date
Sun May 17 2020
Journal Name
Iraqi Journal Of Science
Generalized Higher Derivations on ΓM-Modules
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The concepts of generalized higher derivations, Jordan generalized higher derivations, and Jordan generalized triple higher derivations on Γ-ring M into ΓM-modules X are presented. We prove that every Jordan generalized higher derivation of Γ-ring M into 2-torsion free ΓM-module X, such that aαbβc=aβbαc, for all a, b, c M and α,βΓ, is Jordan generalized triple higher derivation of M into X.

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Publication Date
Thu Nov 29 2018
Journal Name
Iraqi Journal Of Science
On Skew Left ∗-n-Derivations of ∗-Ring
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Publication Date
Sat Mar 28 2020
Journal Name
Iraqi Journal Of Science
A Study on n-Derivation in Prime Near – Rings
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The main purpose of this paper is to show that zero symmetric prime near-rings, satisfying certain identities on n-derivations, are commutative rings.

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