A NEW METHOD FOR CONSTRUCTING PARTIAL ONE TO ONE TRANSFORMATION SEMIGROUP USING TWO LINE NOTATION

Authors

  • Muhammad Mansur Zubairu Department of Mathematical Sciences, Bayero University Kano, Nigeria
  • Bashir Ali Department of Mathematics, Nigerian Defence Academy

Keywords:

Inverse semigroup of partial transformation, k-transitive, one to one full transformations

Abstract

In this paper, we provide a method of constructing finite one to one transformation semigroup from the full one to one transformation semigroup using some pattern called transitive. In this approach, some set theoretic arguments have been used in the construction process. Certain algebraic properties of the resulting non-empty set have also been studied. We Further discuss some combinatorial properties of such sets. 2010 Mathematics Subject Classification. 20M20.

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Published

2022-04-27

How to Cite

Muhammad Mansur Zubairu, & Bashir Ali. (2022). A NEW METHOD FOR CONSTRUCTING PARTIAL ONE TO ONE TRANSFORMATION SEMIGROUP USING TWO LINE NOTATION. Academy Journal of Science and Engineering, 12(1), 45–56. Retrieved from https://ajse.academyjsekad.edu.ng/index.php/new-ajse/article/view/75