Polynomial identities and the Cayley-Hamilton theorem

DOI10.1007/BF03023774zbMath0667.16013WikidataQ61795027 ScholiaQ61795027MaRDI QIDQ1117300

Edward W. Formanek

Publication date: 1989

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

invariant theorypolynomial identitiesPI-algebras

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras (16-01) Rings with polynomial identity (16Rxx)

Related Items (2)

Spectrum Maximizing Products Are Not Generically Unique ⋮ Positive maps and trace polynomials from the symmetric group

Cites Work

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• The invariant theory of \(n\times n\) matrices
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• Rings with a polynomial identity
• Minimal Identities for Algebras

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