On Semigroup Ideals and Left Generalized (ɵ,ɵ)-4- Derivations in Prime Near-Rings

Ikram A.Saed

doi:https://doi.org/10.14445/22315373/IJMTT-V57P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 2 | Year 2018 | Article Id. IJMTT-V57P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P511

On Semigroup Ideals and Left Generalized (ɵ,ɵ)-4- Derivations in Prime Near-Rings

Ikram A.Saed

Citation :

Ikram A.Saed, "On Semigroup Ideals and Left Generalized (ɵ,ɵ)-4- Derivations in Prime Near-Rings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 2, pp. 73-77, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P511

Abstract

Let N be a near –ring and ɵ is a mapping on N .In this paper we introduce the concept of left generalized (ɵ,ɵ)--4-derivation in near-ring N and we show that prime near-ring N satisfying some identities involving left generalized (ɵ,ɵ)--4-derivation and semigroup ideals is a commutative ring .

Keywords

near-ring , prime near-ring , semigroup ideal , ( )-4-derivation , left generalized ( , )-4- derivation .

References

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[4] E.F. Adhab , " n-Additive Mappings in Prime and Semiprime Near-Rings" , PHD. thesis, Baghdad University ,Iraq , 2016 .