@article{tjant20241211,
author={Mouanda, Joachim Moussounda},
title={On Beal's Conjecture for Matrix Solutions and Multiplicative Commutative Groups of Rare Matrices},
journal={Turkish Journal of Analysis and Number Theory},
volume={12},
number={1},
pages={1--7},
year={2024},
url={https://pubs.sciepub.com/tjant/12/1/1},
issn={2333-1232},
abstract={We introduce a new family of Toeplitz matrices called Rare matrices. We construct multiplicative commutative groups of Rare matrices and we establish connections with circulant matrices. We show that, in general, for every positive integer <img src=image/abs1.png></img>, the equation <img src=image/abs2.png></img> has an infinite number of matrix triple solutions <img src=image/abs3.png></img> with the matrices A, B and C do not have a common matrix factor. In other words, Beal's conjecture is not always true for matrix solutions. Mathematics Subject Classification(2010) 15A24, 11D72, 15A16, 11A51.},
doi={10.12691/tjant-12-1-1}
publisher={Science and Education Publishing}
}