Characterization of commutative matrix subalgebras of maximal length over an arbitrary field

DOI10.3103/S0027132209050088zbMath1304.15015MaRDI QIDQ2513092

O. V. Markova

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30)

Related Items (7)

Lengths of quasi-commutative pairs of matrices ⋮ The length function and matrix algebras ⋮ Commutative nilpotent subalgebras with nilpotency index \(n-1\) in the algebra of matrices of order \(n\) ⋮ Classification of matrix subalgebras of length 1. ⋮ Length realizability for pairs of quasi-commuting matrices ⋮ Extremal matrix centralizers ⋮ Commutativity of matrices up to a matrix factor

Cites Work

• Commutative matrix subalgebras and length function
• An upper bound for the length of a finite-dimensional algebra
• Length computation of matrix subalgebras of special type.
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables
• The algebra generated by two commuting matrices

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