Combinatorics Properties of Order-preserving Full Contraction Transformation Semigroup by Their Equivalence Classes


Abstract views: 19 / PDF downloads: 16

Authors

  • G. R. Ibrahim Department of Statistics and Mathematical Sciences, Kwara state University Malete, Kwara State, Nigeria
  • S. O. Makanjuola Department of Mathematics, University of Ilorin, Ilorin, Nigeria

Keywords:

Order-preserving, Contraction mapping, Starred Green's Relation

Abstract

In this paper the cardinalities of equivalence classes of starred Green's relations in order-preserving full contraction transformation semigroup of a finite set$(OCT_{n})$ and the elements in each equivalence classes were investigated. For each class tables were formed, elements were arrange based on their kernel and image sets, patterns of arrangement observed and formulae were deduced in each case through the combinatorial principles.

 

Author Biographies

G. R. Ibrahim, Department of Statistics and Mathematical Sciences, Kwara state University Malete, Kwara State, Nigeria

 

 

S. O. Makanjuola, Department of Mathematics, University of Ilorin, Ilorin, Nigeria

 

 

Downloads

Published

15-02-2018

How to Cite

G. R. Ibrahim, & S. O. Makanjuola. (2018). Combinatorics Properties of Order-preserving Full Contraction Transformation Semigroup by Their Equivalence Classes. International Journal of Mathematics And Its Applications, 6(1 - C), 435–439. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1087

Issue

Vol. 6 No. 1 - C (2018)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.