An interesting property of nonsingular solutions of the Yang-Baxter-like matrix equation

We show that if X is a nonsingular solution of the Yang-Baxter-like matrix equation with a nonsingular A , then A and X are similar.

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Publication Details

Journal
Aequationes Mathematicae
Published
2026-09-24
DOI
https://doi.org/10.1007/s00010-026-01328-z
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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An interesting property of nonsingular solutions of the Yang-Baxter-like matrix equation

Roksana Słowik
Aequationes Mathematicae
Matrix Theory and Algorithms
article

An interesting property of nonsingular solutions of the Yang-Baxter-like matrix equation

Roksana Słowik
article en

Abstract

We show that if X is a nonsingular solution of the Yang-Baxter-like matrix equation with a nonsingular A , then A and X are similar.

Aequationes MathematicaeVol. 100(5)
Silesian University of Technology (PL)
Reduced inequalities
Openalex Percentile: Top 9%
Matrix Theory and Algorithms
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An interesting property of nonsingular solutions of the Yang-Baxter-like matrix equation — Roksana Słowik · Aequationes Mathematicae (2026) | TGRS Research Map | TGRS