A Characterization of Frobenius Derivations and Automorphisms of a Class of Local Near-Rings | Chapter 12 | Theory and Practices of Mathematics and Computer Science Vol. 6

We use the idealization procedure for finite rings in this chapter to create a class of local quasi-3 prime Near-Rings N with a Jordan ideal J(N) and to admit a derivation of Frobenius. Explicitly defined are the structural characteristics of N; J(N) and the commutation of N through the Frobenius derivations. This research has also been expanded to investigate the symmetries of the graphs ᴦ(N) of the studied near-rings N groups. Indeed, certain structures and orders have been defined by the automorphism groups of ᴦ (N).

Aurthor(s) Details:

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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