Geodesic
On Some Properties of the Length Function
Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 83-91

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the length of constructions such as a quotient algebra, a direct sum of algebras, and a subalgebra, which occur in the classical Birkhoff theorem. An upper bound for the length of local algebras is obtained.
Keywords: algebra over a field, finitely generated algebra, length function, Birkhoff theorem, direct sum of algebras, Jacobson radical.
Mots-clés : quotient algebra, subalgebra 
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O. V. Markova. On Some Properties of the Length Function. Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 83-91. http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a8/