A Characterization of Frobenius Derivations and Automorphisms of a Class of Local Near-Rings

Authors

  • 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.

DOI:

https://doi.org/10.9734/bpi/tpmcs/v6/2415E

Keywords:

Localized near-rings, frobenius derivations

Abstract

In this chapter, we use the idealization procedure for finite rings to construct a class of local 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. This work has also been extended to an investigation of the symmetries of the graphs ?(N ) of the classes of near-rings N studied. Indeed some structures and orders of the automorphism groups of ?(N ) have been determined.

Published

2021-02-06

How to Cite

Ojiema M. Onyango, Onyango B. Achieng, & Abuga J. Motanya. (2021). A Characterization of Frobenius Derivations and Automorphisms of a Class of Local Near-Rings. Theory and Practice of Mathematics and Computer Science Vol. 6, 158–170. https://doi.org/10.9734/bpi/tpmcs/v6/2415E

Issue

Theory and Practice of Mathematics and Computer Science Vol. 6

Section

Chapters