Degree 7 monic polynomials satisfied by a 3×3 matrix over a noncommutative ring

DOI10.1080/00927878208822822zbMath0517.16015OpenAlexW1982773434MaRDI QIDQ3665275

K. R. Pearson

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822822

zbMATH Keywords

polynomial equations satisfied by matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04) Rings with polynomial identity (16Rxx)

Related Items (3)

The robson cubics generate all polyhomials satisfied by the general 2× 2 matrix ⋮ Associative rings ⋮ 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
• Polynomials satisfied by matrices
• The robson cubics generate all polyhomials satisfied by the general 2× 2 matrix

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