On the multiplicity order of spinnable star-like transformation semigroup Tw*n

Sulaiman Awwal Akinwunmi; Garba Risqot Ibrahim; Adenike Olusola Adeniji; David Opeoluwa Oyewola

doi:10.46481/jnsps.2024.1692

Authors

Sulaiman Awwal AKINWUNMI
[email protected]
Department of Mathematics and Statistics, Federal University of Kashere, Gombe, Nigeria
Garba Risqot IBRAHIM Department of Mathematics and Statistics, Kwara State University Malete, Kwara, Nigeria
Adenike Olusola ADENIJI Department of Mathematics, University of Abuja, Abuja, Nigeria
David Opeoluwa OYEWOLA Department of Mathematics and Statistics, Federal University of Kashere, Gombe, Nigeria

Keywords:

Transformation semi-group, Multiplicity order, Geometry, Star-like spinnable

Abstract

The application of graph theory has gained significant traction within the realm of the algebraic theory of semigroups. This study delves into exploring the geometric properties of the star-like transformation semigroup \alpha\omega_n^*, a distinctive category of transformation, and delineates a tropical graph (curve) by elucidating its algebraic and tropical structure. Through this investigation, various tropical properties are established, offering insights into the graph theory aspects of star-like spinnable T\omega_n^* transformation semigroups. Consequently, the objective of this research is to delineate and characterize several tropical and combinatorial functions applicable to T\omega_n^*.

Dimensions

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