A power Cayley-Hamilton identity for \(n \times n\) matrices over a Lie nilpotent ring of index \(k\)

DOI10.1016/j.laa.2019.09.016zbMath1425.15031arXiv1909.10210OpenAlexW2974853612WikidataQ114664033 ScholiaQ114664033MaRDI QIDQ2332423

Leon van Wyk, Szilvia Szilágyi, Jenő Szigeti

Publication date: 4 November 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10210

zbMATH Keywords

commutator idealsCayley-Hamilton identityLie nilpotent ring

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

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