[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b200403

FERMAT'S EQUATION OVER 2-BY-2 MATRICES

Chien, Mao-Ting (Department of Mathematics Soochow University)
Meng, Jie (Finance.Fishery.Manufacture Industrial Mathematics Center on Big Data Pusan National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.58, no.3, 2021 , pp. 609-616 More about this Journal

Abstract

We study the solvability of the Fermat's matrix equation in some classes of 2-by-2 matrices. We prove the Fermat's matrix equation has infinitely many solutions in a set of 2-by-2 positive semidefinite integral matrices, and has no nontrivial solutions in some classes including 2-by-2 symmetric rational matrices and stochastic quadratic field matrices.

Keywords

Fermat's matrix equation; commuting family of matrices; stochastic matrices;

Citations & Related Records

Reference

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