Geodesic
On the Relationship between the Length of an Algebra and the Index of Nilpotency of Its Jacobson Radical
Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 682-688.

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A sharp upper bound for the length of an algebra as a function of the index of nilpotency of its Jacobson radical and the length of the quotient algebra by the radical is obtained.
Keywords: algebra over a field, length of an algebra, index of nilpotency, Jacobson radical, ideal.
Mots-clés : quotient algebra, subalgebra 
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O. V. Markova. On the Relationship between the Length of an Algebra and the Index of Nilpotency of Its Jacobson Radical. Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 682-688. http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a3/

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