Boolean Ring With Underlying Power Rhotrix Set

Abstract

This paper introduces 'the notion of power rhotrix set ring' and its method of construction . This ring is a form of Boolean ring which uses operations of symmetric difference and intersection for addition and multiplication respectively. The basic properties of the power rhotrix set ring are discussed and a number of its subrings are uncovered. It is hope this idea would serve as foundation for extending many other concepts in ring theory to power rhotrix set ring theory.