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

  • M. O. Francis Department of Mathematics, University of Abuja, Abuja Nigeria
  • A. O. Adeniji Department of Mathematics, University of Abuja, Abuja Nigeria
  • M. M. Mogbonju
DOI: https://doi.org/10.6084/zenodo.8217976
Keywords: Workdone, Transformations, Regular space, Power, Elements

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 by transformations on m-Topological transformation Semigroup Regular space of degree n

Published
2023-07-15
How to Cite
Francis, M. O., Adeniji, A. O., & Mogbonju, M. M. (2023). Workdone by m-Topological Transformation Semigroup Regular Spaces (Mψn ). International Journal of Mathematical Sciences and Optimization: Theory and Applications, 9(1), 33 - 42. https://doi.org/10.6084/zenodo.8217976
Issue
Vol 9 No 1 (2023)
Section
Articles

Copyright (c) 2023 M. O. Francis, A. O. Adeniji, M. M. Mogbonju

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