On galaxies of sequences of matrix Pythagorean triples and completely Pythagorean maps

Joachim Moussounda  Mouanda; Jean Raoul  Tsiba; Kinvi  Kangni

doi:10.59400/jam2609

On galaxies of sequences of matrix Pythagorean triples and completely Pythagorean maps

Joachim Moussounda Mouanda Mathematics Department, Blessington Christian University, Nkayi, Republic of Congo
Jean Raoul Tsiba Mathematics Department, Blessington Christian University, Nkayi, Republic of Congo
Kinvi Kangni Mathematics Department, Felix Houphouet Boigny University, Abidjan, Ivory Coast

Article ID: 2609

DOI: https://doi.org/10.59400/jam2609

Keywords: matrices; polynomials; model theory; Mouanda’s choice function; semiring

Abstract

We develop an algorithm that allows us to construct the sequences of matrix Pythagorean triples of any size. We prove that there exists an infinite number of galaxies of sequences of matrix Pythagorean triples. We construct the semiring of sequences of matrix Pythagorean triples called the astral body of the set Mm(ℕ) associated to a galaxy. We show that every galaxy of sequences of matrix Pythagorean triples is associated with a semiring, and every semiring is associated with a homomorphism of semirings. We construct the astral body of the set of complex polynomials over the unit disk D. We construct the semiring of astral bodies of the set Mm(ℕ) associated with several galaxies. We also introduce the sequences of completely Pythagorean maps over N³.

Published

2025-05-28

How to Cite

Mouanda, J. M., Tsiba, J. R., & Kangni, K. (2025). On galaxies of sequences of matrix Pythagorean triples and completely Pythagorean maps. Journal of AppliedMath, 3(3), 2609. https://doi.org/10.59400/jam2609

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Vol. 3 No. 3 (2025)

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Article

This work is licensed under a Creative Commons Attribution 4.0 International License.

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