Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Volume 13 Issue 1 April 2025

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

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

Article Info

Publish Date
12 Apr 2025

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.

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Journal Info
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Website

Abbrev

Euler

Publisher

Universitas Negeri Gorontalo

Subject

Computer Science & IT Mathematics

Description

Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. Euler disseminates new research results in all areas of mathematics and their ...