A remark on measure functions having domain as sigma algebra on finite rhotrix set

Abstract

Let R_n (Z_p) be the set of all rhotrices of size n taking values from a field of integers Z_p, where n = 2Z⁺ + 1. The purpose of this paper is to present some characterization of measure functions over sigma algebra on finite rhotrix set recently developed by Mohammed and Ifeanyi. The results were presented as theorems with their proof. Concrete examples were given to further reduce abstraction.

Keywords: Measure, measure function, finite rhotrix set, invertible rhotrix, sigma-algebra