Green’s Equivalence Classes in Full Transformation Semigroups: A Height-based Approach

Usamot Foluke Idayat, Ibrahim Garba Risqot, Bakare Gatta Naimat, Adeshola Adediran Dauda, Aliu Tajudeen Olaniyi

Green’s Equivalence Classes in Full Transformation Semigroups: A Height-based Approach

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Green's Equivalence Usamat et.al 2025.pdf(1.6 MB)

Date

2025-04-01

Authors

Usamot Foluke Idayat, Ibrahim Garba Risqot, Bakare Gatta Naimat, Adeshola Adediran Dauda, Aliu Tajudeen Olaniyi

Publisher

Department of Mathematics State University, Gorontalo

Abstract

Green’s relations constitute five distinct equivalence classes that serve to define the elements of a semigroup. In this work, the equivalence classes within the Full Transformation Semigroup (Tκ) were systematically enumerated according to their respective heights, and the findings derived were subsequently generalized through the application of a combinatorial assertion and their graphical representations included to substantiate the theoretical results.

Citation

https://doi.org/10.37905/euler.v13i1.30957

URI

https://kwasuspace.kwasu.edu.ng/handle/123456789/6980

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