Green’s Equivalence Classes in Full Transformation Semigroups: A Height-based Approach
Loading...
Date
2025-04-12
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Mathematics, Universitas Negeri Gorontalo, Indonesia
Abstract
Green’s relations constitute five distinct equivalence classes that serve to define the elements of a semi-
group. In this work, the equivalence classes within the Full Transformation Semigroup (Tκ) were systematically enu-
merated 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.