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Matematicheskie Zametki, 2013, Volume 94, Issue 5, Pages 682–688
DOI: https://doi.org/10.4213/mzm10121 (Mi mzm10121) 		 
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
Full-text PDF (438 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10121
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
English version:
Mathematical Notes, 2013, Volume 94, Issue 5, Pages 636–641
DOI: https://doi.org/10.1134/S0001434613110047
Bibliographic databases:
Document Type: Article
UDC: 512.552
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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