Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Characterization of commutative matrix subalgebras of maximal length over an arbitrary field / O. V. Markova. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 5. P. 53-55 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 214-215].

A characterization of commutative subalgebras of length n-1 in the full matrix algebra of order n over an arbitrary field is obtained in terms of generating elements.

Key words: lengths of algebras, commutative matrix algebras, nonderogatory matrices.

№ 5/2009

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