Commutative Matrix Subalgebras Generated by Nonderogatory Matrices

DOI10.1007/S10958-024-07102-3MaRDI QIDQ6493788

O. V. Markova

Publication date: 29 April 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Lengths of quasi-commutative pairs of matrices
• Commutative matrix subalgebras and length function
• An upper bound for the length of a finite-dimensional algebra
• A resolution of Paz's conjecture in the presence of a nonderogatory matrix
• Burnside's theorem: Irreducible pairs of transformations
• Extremal matrix centralizers
• Generating systems of the full matrix algebra that contain nonderogatory matrices
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables
• The algebra generated by two commuting matrices
• ON MINIMAL SETS OF -MATRICES WHOSE PAIRWISE PRODUCTS FORM A BASIS FOR
• IRREDUCIBLE FAMILIES OF COMPLEX MATRICES CONTAINING A RANK-ONE MATRIX
• A General Asymptotic Formula for Partition Functions

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