JP Journal of Algebra, Number Theory and Applications

The JP Journal of Algebra, Number Theory and Applications is a prestigious international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research papers, both theoretical and applied in nature, in various branches of algebra and number theory. The journal also welcomes survey articles that contribute to the advancement of these fields.

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FÂ AND GEOMETRIC TRANSFORMATIONS

Authors

  • EDARH-BOSSOU Toyo Koffi
  • AKONA Tcha
  • d’ALMEIDA Zokpé Zoki

Keywords:

FÂ system, group T operators, permutation matrices

DOI:

https://doi.org/10.17654/0972555522007

Abstract

We apply operators used in the generation of matrix forms of Pascal’s triangle to obtain relations between the binary quadrivectors of FÂ. We then cleverly group them together to obtain invariant subsets with respect to geometric transformations.

Received: November 2, 2021
Accepted: January 3, 2022

References

d’ALMEIDA Zokpé Zoki and EDARH-BOSSOU Toyo Koffi, Mathematics of the FÂ: case of algebra and geometry, Universal Journal of Mathematics and Mathematical Sciences 15 (2022), 1-9.

Azimavixokonu Zokpe Zoke Axosugedegudu, Les Travaux de Zokpe Zoki, ESSAI; Éditions Publibook, 2015.

Babiga Birregah, Transformations géométriques sur les formes matricielles du triangle de Pascal: application aux automates à états finis et réseaux en grille, Thèse de Doctorat - Université de Lomé, 2007.

Prosper Kwaku Doh, The forty-eight square matrix forms of the arithmetic triangle, Research Report Doc n° 1/2001-41/DKP, 2001.

Prosper Kwaku Doh, Twelve matrix form of the arithmetic triangle: mathematical tools, relation diagram, Research Report Doc n° 1/1996-199/DKP, 1996.

Prosper Kwaku Doh, Courbes Paramétriques Polynomiales et Formes Matricielles du Théorème Binomial: Nouveaux Outils Fondamentaux pour la Conception et Fabrication Assistée par Ordinateur, Thèse de Doctorat, Université de Nancy 1, 1988.

Published

2022-01-21

Issue

Section

Articles

How to Cite

FÂ AND GEOMETRIC TRANSFORMATIONS. (2022). JP Journal of Algebra, Number Theory and Applications, 53(2), 123-136. https://doi.org/10.17654/0972555522007

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