Characterization of Commutative Matrix Subalgebras of Maximal Length over an Arbitrary Field / O.V. Markova // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 5. P. 53-55 [Moscow Univ. Math. Bulletin. Vol. 64, No 5, 2009. 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.