Classification of matrix subalgebras of length 1.
type: Item
instance of: scholarly article
title: Classification of matrix subalgebras of length 1.
zbMATH Open document ID: 1259.16037
author: O. V. Markova
published in: Journal of Mathematical Sciences (New York)
publication date: 2013-01-10T00:00:00Z
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 16S15
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 6124285
zbMATH Keywords: matrix algebras
zbMATH Keywords: finite generating sets
zbMATH Keywords: finite-dimensional algebras
zbMATH Keywords: lengths of algebras
zbMATH Keywords: commutative matrix subalgebras
MaRDI profile type: Publication
full work available at URL: s10958-012-0928-7
OpenAlex ID: W2091429475
cites work: Reducibility theorems for pairs of matrices as rational criteria
cites work: On the unitary similarity of matrix families
cites work: Maximal Commutative Subalgebras ofn×nMatrices
cites work: The dimension of maximal commutative subalgebras of \(K_ n\)
cites work: On dominance and varieties of commuting matrices
cites work: Commutative matrix subalgebras and length function
cites work: Schur’s theorems on commutative matrices
cites work: The minimal dimension of maximal commutative subalgebras of full matrix algebras
cites work: Two-generated commutative matrix subalgebras
cites work: Length computation of matrix subalgebras of special type.
cites work: Characterization of commutative matrix subalgebras of maximal length over an arbitrary field
cites work: On some properties of the length function.
cites work: An upper bound for the length of a finite-dimensional algebra
cites work: An application of the Cayley-Hamilton theorem to matrix polynomials in several variables
cites work: Q3961610
cites work: A CONSTRUCTION OF MAXIMAL COMMUTATIVE SUBALGEBRA OF MATRIX ALGEBRAS
cites work: Q3416497
DOI: 10.1007/S10958-012-0928-7
description: scientific article; zbMATH DE number 6124285