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

Please use this identifier to cite or link to this item: http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2850

Title:	A Characterization of Frobenius Derivations and Automorphisms of a Class of Local Near-Rings
Authors:	Onyang, Ojiema M. Onyango, B. Achieng Abuga, J. Motanya
Keywords:	Characterization, Frobenius, Derivations, Automorphisms, Class,Local, Near-Rings
Issue Date:	6-Feb-2021
Publisher:	Theory and Practice of Mathematics and Computer Science
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.
URI:	https://doi.org/10.9734/bpi/tpmcs/v6/2415E https://stm.bookpi.org/TPMCS-V6/article/view/66 http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2850
Appears in Collections:	Gold Collection

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