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All Journal Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Olaniyi, Aliu Tajudeen
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Computer Science & IT Mathematics

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Green’s Equivalence Classes in Full Transformation Semigroups: A Height-based Approach Idayat, Usamot Foluke; Risqot, Ibrahim Garba; Naimat, Bakare Gatta; Dauda, Adeshola Adediran; Olaniyi, Aliu Tajudeen
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 1 April 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i1.30957

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.
Co-Authors Dauda, Adeshola Adediran Idayat, Usamot Foluke Naimat, Bakare Gatta Risqot, Ibrahim Garba