On A Class of Idealized Near-Rings Admitting Frobenius Derivations

Ojiema M. Onyango; Onyango B. Achieng; Abuga J. Motanya

doi:10.9734/jamcs/2020/v35i530277

Research Article Open access CC BY 4.0

On A Class of Idealized Near-Rings Admitting Frobenius Derivations

Ojiema M. Onyango, Onyango B. Achieng, Abuga J. Motanya

Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 15 Jul 2020

10.9734/jamcs/2020/v35i530277

Abstract

In this paper, we use the idealization procedure for finite rings to construct a class of quasi-3 prime Near-Rings N with a Jordan ideal J(N) and admitting a Frobenius derivation. The structural characterization of N; J(N) and commutation of N via the Frobenius derivations have been explicitly determined.

Idealization of modules near-rings frobenius derivations.

Cited by 1

Automorphism Groups of Regular Elements with Von-Neumann Inverses of Local Near-Rings Admitting Frobenius Derivations

Abuga J. Motanya, Michael Onyango Ojiema, Benard Muthiani Kivunge · Asian Research Journal of Mathematics · 2023

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Ojiema M. Onyango, Onyango B. Achieng, Abuga J. Motanya (2020). On A Class of Idealized Near-Rings Admitting Frobenius Derivations. Journal of Advances in Mathematics and Computer Science , 1–9. https://doi.org/10.9734/jamcs/2020/v35i530277

Affiliations

Ojiema M. Onyango — Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190-50100, Kakamega, Kenya.
Onyango B. Achieng — Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190-50100, Kakamega, Kenya.
Abuga J. Motanya — Department of Mathematics, Kisii University, P.O Box 408-40200, Kisii, Kenya.

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