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Polynomials satisfied by matrices

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Publication:1259659
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DOI10.1016/0021-8693(78)90234-XzbMath0411.16016MaRDI QIDQ1259659

J. Chris Robson

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)


zbMATH Keywords

laws of a non-commutative matrix


Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Matrix equations and identities (15A24) General nonassociative rings (17A99) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)


Related Items (6)

The robson cubics generate all polyhomials satisfied by the general 2× 2 matrix ⋮ Ordinal numbers and the Hilbert basis theorem ⋮ Associative rings ⋮ Well quasi-ordered sets and ideals in free semigroups and algebras ⋮ Degree 7 monic polynomials satisfied by a 3×3 matrix over a noncommutative ring ⋮ A power Cayley-Hamilton identity for \(n \times n\) matrices over a Lie nilpotent ring of index \(k\)



Cites Work

  • Well quasi-ordered sets and ideals in free semigroups and algebras
  • Finite extensions are integral
  • Ordering by Divisibility in Abstract Algebras


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