Some algebraic Rhotrices using a method of spanning

Abstract

Rhotrix has been extensively studied in recent time due to their applicability, as theoretic tools in other field such as engineering, physicist, and other related fields. The aim of this research is to identify the relationship between Rhotrices and some other fields in algebra, and classes of Rhotrices as abstract structures, such as Rings, fields, groups, and then further extended to generate some results using the idea of spanning.

On the Centralizer of a Rhotrix in R3(R), R a GCD Domain

“…Ajibade defined the set of rhotrices of size three over reals as follows: Rhotrix theory is currently in the early stages of development. Since its inception in 2003, numerous researchers have expressed interest in developing and expanding this notion, most often by drawing analogies to the concepts of matrices [3], [4], [5], [6], [7], [8].…”