Browsing Journal Articles by Author "Abuga, Joseph Motanya"
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Automorphism Groups of Regular Elements with Von-Neumann Inverses of Local Near-Rings Admitting Frobenius Derivations
Abuga, Joseph Motanya; Ojiema, Michael Onyango; Kivunge, Benard Muthiani (Asian Research Journal of Mathematics, 2023-01-28)This paper presents the classification of the invariant subgroups of the automorphism groups of the regular elements obtained from finite local near-rings, the appropriate algebraic structure to study non-linear functions on ... -
Regular Elements and Von-Neumann Inverses of a Class of Zero Symmetric Local Near-Rings Admitting Frobenius Derivations
Abuga, Joseph Motanya; Ojiema, Michael Onyango; Kivunge, Benard Muthiani (Asian Research Journal of Mathematics, 2023-01-01)Let N be a zero-symmetric local near-ring. An element x ∈ N is either regular, zero or a zero divisor. In this paper, we construct a class of zero symmetric local near-ring of characteristic p k ; k ≥ 3 admitting an ...