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Matematicheskie Zametki, 2010, Volume 87, Issue 1, Pages 83–91
DOI: https://doi.org/10.4213/mzm8468 (Mi mzm8468) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On Some Properties of the Length Function

O. V. Markova

M. V. Lomonosov Moscow State University
Full-text PDF (454 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm8468
Abstract: 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, quotient algebra, subalgebra, direct sum of algebras, Jacobson radical.
Received: 21.04.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 71–78
DOI: https://doi.org/10.1134/S0001434610010098
Bibliographic databases:
UDC: 512.552
Language: Russian
Citation: O. V. Markova, “On Some Properties of the Length Function”, Mat. Zametki, 87:1 (2010), 83–91; Math. Notes, 87:1 (2010), 71–78
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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