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

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 tr...

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Main Authors: Sulaiman Awwal Akinwunmi, Garba Risqot Ibrahim, Adenike Olusola Adeniji, David Opeoluwa Oyewola
Format: Article
Language:English
Published: Nigerian Society of Physical Sciences 2024-02-01
Series:Journal of Nigerian Society of Physical Sciences
Subjects:
Online Access:https://journal.nsps.org.ng/index.php/jnsps/article/view/1692
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author Sulaiman Awwal Akinwunmi
Garba Risqot Ibrahim
Adenike Olusola Adeniji
David Opeoluwa Oyewola
author_facet Sulaiman Awwal Akinwunmi
Garba Risqot Ibrahim
Adenike Olusola Adeniji
David Opeoluwa Oyewola
author_sort Sulaiman Awwal Akinwunmi
collection DOAJ
description 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^*.
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spelling doaj.art-aa4bda27b8fe40ee8b9d9a736cc2c23b2024-02-21T16:39:34ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042024-02-016110.46481/jnsps.2024.1692On the multiplicity order of spinnable star-like transformation semigroup Tw*nSulaiman Awwal Akinwunmi0Garba Risqot Ibrahim1Adenike Olusola Adeniji2David Opeoluwa Oyewola3Department of Mathematics and Statistics, Federal University of Kashere, Gombe, NigeriaDepartment of Mathematics and Statistics, Kwara State University Malete, Kwara, NigeriaDepartment of Mathematics, University of Abuja, Abuja, NigeriaDepartment of Mathematics and Statistics, Federal University of Kashere, Gombe, Nigeria 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^*. https://journal.nsps.org.ng/index.php/jnsps/article/view/1692Transformation semi-groupMultiplicity orderGeometryStar-like spinnable
spellingShingle Sulaiman Awwal Akinwunmi
Garba Risqot Ibrahim
Adenike Olusola Adeniji
David Opeoluwa Oyewola
On the multiplicity order of spinnable star-like transformation semigroup Tw*n
Journal of Nigerian Society of Physical Sciences
Transformation semi-group
Multiplicity order
Geometry
Star-like spinnable
title On the multiplicity order of spinnable star-like transformation semigroup Tw*n
title_full On the multiplicity order of spinnable star-like transformation semigroup Tw*n
title_fullStr On the multiplicity order of spinnable star-like transformation semigroup Tw*n
title_full_unstemmed On the multiplicity order of spinnable star-like transformation semigroup Tw*n
title_short On the multiplicity order of spinnable star-like transformation semigroup Tw*n
title_sort on the multiplicity order of spinnable star like transformation semigroup tw n
topic Transformation semi-group
Multiplicity order
Geometry
Star-like spinnable
url https://journal.nsps.org.ng/index.php/jnsps/article/view/1692
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