Results 11 to 20 of about 343,956 (260)
On Jordan ideals with left derivations in 3-prime near-rings
Extracta Mathematicae, 2023 We will extend in this paper some results about commutativity of Jordan ideals proved in [2] and [6]. However, we will consider left derivations instead of derivations, which is enough to get good results in relation to the structure of near-rings.
A. En-guady, A. Boua
doaj +2 more sources
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
openaire +5 more sources
Two sided $\alpha $-derivations in 3-prime near-rings [PDF]
Rocky Mountain Journal of Mathematics, 2016 Let \(N\) be a zero-symmetric left near-ring with multiplicative center \(Z(N)\), and let \(\alpha\) be a mapping from \(N\) to \(N\). An additive map \(d:N\to N\) is called a \((1,\alpha)\)-derivation (resp. \((\alpha,1)\)-derivation) if \(d(xy)= d(x)y+\alpha(x)\, d(y)\) (resp.
Lahcen Oukhtite, A Boua
exaly +3 more sources
ON SEMIDERIVATIONS IN 3-PRIME NEAR-RINGS
Communications of the Korean Mathematical Society, 2016 Abstract. In the present paper, we expand the domain of work on theconcept of semiderivations in 3-prime near-rings through the study ofstructure and commutativity of near-rings admitting semiderivations sat-isfying certain differential identities. Moreover, several examples havebeen provided at places which show that the assumptions in the hypothe-ses ...
Mohammad Ashraf, Abdelkarim Boua
exaly +3 more sources
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
doaj +2 more sources
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.
openaire +5 more sources
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
doaj +2 more sources
Generalized two sided α-derivations in 3-prime near-rings [PDF]
Journal of Taibah University for Science, 2015 AbstractIn this paper we investigate 3-prime near-rings with generalized two sided α-derivations satisfying certain differential identities. Consequently, some well known results have been generalized. Moreover, an example proving the necessity of the 3-primeness hypothesis is given.
Oukhtite, L., Raji, A.
openaire +3 more sources
Some results on 3-Prime near-rings with derivations
Indian Journal of Pure and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelkarim Boua
exaly +2 more sources
ON GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS [PDF]
Journal of Kufa for Mathematics and Computer, 2012 The main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime near- rings and 3-prime near-ring N ,we give some
Mehsin Jabel Atteya +1 more
doaj +2 more sources