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This article is cited in 5 scientific papers (total in 5 papers)
On the Relationship between the Length of an Algebra and the Index of Nilpotency of Its Jacobson Radical
O. V. Markova M. V. Lomonosov Moscow State University
Abstract:
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, quotient algebra, subalgebra, Jacobson radical, ideal.
Received: 13.06.2012
Citation:
O. V. Markova, “On the Relationship between the Length of an Algebra and the Index of Nilpotency of Its Jacobson Radical”, Mat. Zametki, 94:5 (2013), 682–688; Math. Notes, 94:5 (2013), 636–641
Linking options:
https://www.mathnet.ru/eng/mzm10121https://doi.org/10.4213/mzm10121 https://www.mathnet.ru/eng/mzm/v94/i5/p682
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Abstract page: | 348 | Full-text PDF : | 185 | References: | 54 | First page: | 20 |
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