Results 11 to 20 of about 422,853 (267)
Commutativity of a 3-Prime near Ring Satisfying Certain Differential Identities on Jordan Ideals [PDF]
Mathematics, 2020 The purpose of this study is to obtain the commutativity of a 3-prime near ring satisfying some differential identities on Jordan ideals involving derivations and multiplicative derivations.
Asma Ali, Inzamam ul Huque
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On 3-prime ideal with respect to an element of a near ring
Journal of Kufa for Mathematics and Computer, 2014 In this paper ,we introduce the notions 3- prime ideal with respect to an element x denoted by (x-3-prime ideal ) of a near ring and the 3-prime ideal near ring with respect to an element x denoted by (x-3-prime ideal near ring ) ,and
Showq M. Ibrahem
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On commutativity of 3-prime near-rings with generalized (α; β)-derivations [PDF]
Communications in Mathematics, 2022 Let \(\mathcal{N}\) be a~\(3\)-prime near ring and \(\alpha,\beta: \mathcal{N}\rightarrow \mathcal{N}\) be endomorphisms. In the present paper we amplify a~few outcomes concerning generalized derivations and two-sided \(\alpha\)-generalized derivations of \(3\)-prime near rings to generalized \((\alpha,\beta)\)-derivations. Cases demonstrating the need
Boua, Abdelkarim, Abdelwanis, Ahmed
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Some commutativity criteria for 3-prime near-rings [PDF]
Algebra and Discrete Mathematics, 2021 In the present paper, we introduce the notion of∗-generalized derivation in near-ring N and investigate some properties in volving that of∗-generalized derivation of a∗-prime near-ring N which forces N to be a commutative ring. Some properties of generalized semiderivations have also been given in the context of 3-prime near-rings.
Raji, A.
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On Semigroup Ideals and Right n-Derivation in 3-Prime Near-Rings
مجلة بغداد للعلوم, 2023 The current paper studied the concept of right n-derivation satisfying certified conditions on semigroup ideals of near-rings and some related properties.
Enaam Farhan
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On Prime Near-Rings with Generalized Derivation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 Let N be a 3-prime 2-torsion-free zero-symmetric left near-ring with multiplicative center Z. We prove that if N admits a nonzero generalized derivation f such that f(N)⊆Z, then N is a commutative ring. We also discuss some related properties.
Howard E. Bell
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On Generalized Semiderivations of Prime Near Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 Let N be a near ring. An additive mapping F:N→N is said to be a generalized semiderivation on N if there exists a semiderivation d:N→N associated with a function g:N→N such that F(xy)=F(x)y+g(x)d(y)=d(x)g(y)+xF(y) and F(g(x))=g(F(x)) for all x,y∈N.
Abdelkarim Boua +3 more
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Generalized Left Derivations with Identities on Near-Rings
مجلة بغداد للعلوم, 2023 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 ...
Enaam Farhan
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Serval algebraic identities in 3-prime near-rings [PDF]
Kragujevac Journal of Mathematics, 2018 Summary: The purpose of this paper is to study derivations and generalized derivations satisfying certain differential identities on Jordan ideals and Lie ideals of \(3\)-prime near-rings. Moreover, we provide examples to show that hypothesis of our results are necessary.
Boua, A., Ali, A., Huque, I. Ul
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HUBUNGAN DERIVASI PRIME NEAR-RING DENGAN SIFAT KOMUTATIF RING [PDF]
, 2017 Near-rings are generalize from rings. A research on near-ring is continous included a research on prime near-rings and one of this research is about derivation on prime near-rings.
LUH PUTU IDA HARINI +2 more
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