Generalized commutators and a problem related to the Amitsur–Levitzki theorem

DOI10.1080/03081087.2017.1389851zbMath1491.15021OpenAlexW2761305965MaRDI QIDQ4685511

Irwin S. Pressman, John D. Dixon

Publication date: 9 October 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1389851

zbMATH Keywords

multilineargeneralized commutatorAmitsur-Levitzki theoremskewsymmetric

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Commutativity of matrices (15A27) Multilinear algebra, tensor calculus (15A69) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87)

Related Items (2)

A graph-theoretic approach to a conjecture of Dixon and Pressman ⋮ Unnamed Item

Cites Work

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• A new proof of the Amitsur-Levitski identity
• The ring of generic matrices.
• On the theorem of Amitsur-Levitzki.
• Matrix Analysis
• Fast Probabilistic Algorithms for Verification of Polynomial Identities
• Applications of Graph Theory to Matrix Theory
• An Application of Graph Theory to Algebra
• Minimal Identities for Algebras

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