Roots of Tropical Polynomial from Clopen and Non-Clopen Discrete m-Topological Transformation Semigroup

This paper introduces a specific subclass of m-topological transformation semigroup spaces, referred to as closed m-topological full transformation semigroup spaces. It defines both the clopen and non-clopen elements within these spaces and explores the nature of their roots. The study presents formulas for clopen and non-clopen elements, as well as for the closed m-topological full transformation semigroup spaces. Furthermore, numerical and graphical results for degrees 2 and 3 are provided to illustrate the findings.