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

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

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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     author = {O. V. Markova},
     title = {On the {Relationship} between the {Length} of an {Algebra} and the {Index} of {Nilpotency} of {Its} {Jacobson} {Radical}},
     journal = {Matemati\v{c}eskie zametki},
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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/