On Collapse Of Order-Preserving and Idempotent of Order-Preserving Full Contraction Transformation Semigroup

  • A. Ibrahim Department of Mathematics, University of Abuja, Nigeria
  • E. A. Nwaibeh School of Basic Sciences, Nigeria Maritime University Okerenkoko, 332105 Warri, Delta State
  • M. O. Francis Department of Mathematics, University of Abuja, Nigeria.
  • C. J. Okigbo Department of Mathematics and Statistics, Federal Polytechnic Nasarawa, Nigeria
Keywords: Collapse, Contraction, Full Transformation semigroup, Idempotent, Order preserving

Abstract

Let Tn be the set of full transformation semigroup on Xn = {1, 2, 3, · · · , n}, C +(α) =|OCTn |= q be it’s subsemigroup on collapse of order-preserving full contraction transformation, C +(αE) =| E(OCTn) |= qE be the collapse on idempotent of order-preserving full contraction transformation and C +(α) =| C +(α) |= ∪t∈Imα | {tα−1 ≥ 2} | be the formula for total number of collapsible element.In this paper, we investigate the collapse element on order-preserving and idempotent of order- reserving full contraction transformation semigroup.

Published
2024-04-14
How to Cite
Ibrahim, A., Nwaibeh, E. A., Francis, M. O., & Okigbo, C. J. (2024). On Collapse Of Order-Preserving and Idempotent of Order-Preserving Full Contraction Transformation Semigroup. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 10(2), 1 - 8. Retrieved from http://ijmso.unilag.edu.ng/article/view/2076
Issue
Vol 10 No 2 (2024)
Section
Articles

Copyright (c) 2024 A. Ibrahim, E. A. Nwaibeh, M. O. Francis, C. J. Okigbo

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