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C. I. Madu
Abstract This paper extends rhotrix theory to the study of measure theory through the instrumentality of determinant measure of finite matrix set. Construction and axiomatization of measure functions over sigma algebra on finite rhotrix sets are considered. A systematization of some existing results in measure theory using finite rhotrix sets, as an underlying set are made. The results is that measure theory can be used on not on the real line and the determinant measure study of finite rhotrix sets is possible. It would also help in showing the application of rhotrix theory in the abstract study of measure theory.