Green’s Equivalence Classes in Full Transformation Semigroups: A Height-based Approach
Usamot Foluke Idayat, Ibrahim Garba Risqot, Bakare Gatta Naimat, Adeshola Adeniran Dauda, Aliu Tajudeen Olaniyi · Euler Jurnal Ilmiah Matematika Sains dan Teknologi · 2025
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.