A Note on Rhotrices Ring

Abstract

In this paper, we define algebraic operations on 3-dimensional rhotrices over an arbitrary ring R and show that the set of 3-dimensional rhotrices over an arbitrary ring R is a ring according to these operations. We investigate the properties of a rhotrices ring. Furthermore, we characterize the ideals of a rhotrices ring. Also, maximal ideals and prime ideals of a rhotrices ring are investigated. An example of these concepts is presented.