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Results on 3-prime near-rings with generalized derivations

Beitrage Zur Algebra Und Geometrie, 2015
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exaly   +2 more sources

On two sided α-n-derivation in 3-prime near-rings

Acta Mathematica Hungarica, 2018
Let N be a left near-ring and let α be a function of N. We introduce the notion of two sided α-n-derivation and prove that a prime zero symmetric near-ring involving α-n-derivations satisfying certain identities is a commutative ring.Also, some examples are given to shown that the 3-primeness condition in our results is not redundant.
Lahcen Oukhtite
exaly   +2 more sources

Some Algebraic Identities in 3-Prime Near-Rings

Ukrainian Mathematical Journal, 2020
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Boua, A., Ashraf, M.
openaire   +1 more source

Left multipliers and commutativity of 3-prime near-rings

MATHEMATICA, 2023
Our objective in this paper is to study the structure of 3-prime near-rings satisfying some algebraic properties.
Boua, Abdelkarim, Davvaz, Bijan
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Homoderivations and semigroup ideals in 3-prime near-rings

2021
Summary: This paper studies homoderivations satisfying certain conditions on semigroup ideals of near-rings. In addition, we include some examples of the necessity of the hypotheses used in our results.
Mouhssine, Samir, Boua, Abdelkarim
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On generalized semiderivations in 3-prime near-rings

Asian-European Journal of Mathematics, 2016
There is a large body of evidence showing that the existence of a suitably-constrained derivation on a 3-prime near-ring forces the near-ring to be a commutative ring. The purpose of this paper is to study generalized semiderivations which satisfy certain identities on 3-prime near-ring and generalize some results due to [H. E. Bell and G.
Boua, A., Oukhtite, L., Raji, A.
openaire   +1 more source

On multiplicative generalized derivations in 3-prime near-rings

AIP Conference Proceedings, 2018
In the present paper, we prove that 3–prime near-ring N is commutative ring, if any one of the following conditions are satisfied: (i) f (N) ⊆ Z, (ii) f ([x, y]) = 0, (iii) f ([x, y]) = ±τ ([x, y]), (iv) f ([x, y]) = ±τ(xoy), (v) f ([x, y]) = τ ([d(x), y]), for all x, y ∈ N, where f is a nonzero left multiplicative generalized (σ, τ)-derivation of N ...
Bedir, Zeliha, Golbas, Oznur
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