Workdone by m-Topological Transformation Semigroup Regular Spaces (Mψn )

Abstract

This paper introduces a new class of topological Semigroup called the m-Topological Transformation Semigroups; this uses the notion of topological spaces to solve semigroup problem with primary focus on Transformation Semigroups. m-Topological Transformation Semigroup Regular space moves an element x of its domain to a distance of |x − αx| units. The workdone w(ψ) by ψ is defined as the sum of all of the distances. In this paper, we derive formula for total work done, average work done and the power