On minimal ∗-identities of matrices∗

DOI10.1080/03081089508818405zbMath0944.15013OpenAlexW2017745297MaRDI QIDQ4873480

Antonio Giambruno, Angela Valenti

Publication date: 18 September 2000

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

Full work available at URL: https://doi.org/10.1080/03081089508818405

zbMATH Keywords

free algebramatrix algebrasymplectic involutiontranspose involutionmultilinear *-polynomial identity

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Matrix equations and identities (15A24) Algebraic systems of matrices (15A30)

Related Items

Identities of symmetric and skew-symmetric matrices in characteristic \(p\) ⋮ Identities in algebras with involution ⋮ An isomorphism between branched and geometric rough paths ⋮ Identities of representations of Lie algebras and *-polynomial identities ⋮ Central polynomials for low order matrix algebras with involution¹

Cites Work

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• Algebraic conditions on rings with involution
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• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution