Benard Muthiani Kivunge

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

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

This paper presents the classication of the invariant subgroups of the automorphism groups of the regular elements obtained from nite local near-rings, the appropriate algebraic structure to study non-linear functions on finite groups. Just as rings of matrices operate on vector...

Open access Research Article 10.9734/arjom/2023/v19i1638

Regular Elements and Von-Neumann Inverses of a Class of Zero Symmetric Local Near-Rings Admitting Frobenius Derivations

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

Let N be a zero-symmetric local near-ring. An element \({x}\) \(\in\) N is either regular, zero or a zero divisor. In this paper, we construct a class of zero symmetric local near-ring of characteristic pk; k \(\ge\) 3 admitting an identity frobenius derivation, characterize the...

Open access Research Article 10.9734/arjom/2023/v19i1636