Work

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

Year: 2025

Type: article

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.

Source: Euler Jurnal Ilmiah Matematika Sains dan Teknologi

DOI: 10.37905/euler.v13i1.30957

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

Institutions: University of Ilorin, Kwara State University

Language: English

Topic: semigroups and automata theory

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4409788862

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