On the Coprimeness Property of Discrete Systems without the Irreducibility Condition

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Kanki, M., Mase, T., Tokihiro, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209785
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Coprimeness Property of Discrete Systems without the Irreducibility Condition / M. Kanki, T. Mase, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 24 назв. — англ.

In this article, we investigate the coprimeness properties of one and two-dimensional discrete equations in a situation where the equations are decomposable into several factors of polynomials. After experimenting on a simple equation, we shall focus on some higher power extensions of the Somos-4 eq...