Words containing a basis for the algebra of all matrices

DOI10.1016/J.LAA.2011.08.048zbMath1236.15041OpenAlexW1969160558MaRDI QIDQ2427949

Daniel Rosenthal

Publication date: 19 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.048

zbMATH Keywords

basismatrixword

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30)

Related Items (2)

ON MINIMAL SETS OF -MATRICES WHOSE PAIRWISE PRODUCTS FORM A BASIS FOR ⋮ Sweeping words and the length of a generic vector subspace of \(M_n(\mathbb{F})\)

Cites Work

• An upper bound for the length of a finite-dimensional algebra
• On the lengths of irreducible pairs of complex matrices
• ON THE LENGTHS OF PAIRS OF COMPLEX MATRICES OF SIZE SIX
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables

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