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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 6, Pages 1389–1411
DOI: https://doi.org/10.17377/smzh.2018.59.614 (Mi smj3052) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Identities of the model algebra of multiplicity 2

S. V. Pchelintsevab

a Financial University Under the Government of the Russian Federation, Moscow, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (387 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2018.59.614
Abstract: We construct an additive basis of the free algebra of the variety generated by the model algebra of multiplicity 2 over an infinite field of characteristic not 2 and 3. Using the basis we remove a restriction on the characteristic in the theorem on identities of the model algebra (previously the same was proved in the case of characteristic 0). In particular, we prove that the kernel of the relatively free Lie-nilpotent algebra of index 5 coincides with the ideal of identities of the model algebra of multiplicity 2.
Keywords: free algebra, proper polynomial, identity of Lie-nilpotency, additive basis, identities of a model algebra.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The author was supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 30.01.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 6, Pages 1105–1124
DOI: https://doi.org/10.1134/S0037446618060149
Bibliographic databases:
Document Type: Article
UDC: 512.552.4+512.572
Language: Russian
Citation: S. V. Pchelintsev, “Identities of the model algebra of multiplicity 2”, Sibirsk. Mat. Zh., 59:6 (2018), 1389–1411; Siberian Math. J., 59:6 (2018), 1105–1124
Citation in format AMSBIB
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\paper Identities of the model algebra of multiplicity~2
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\issue 6
\pages 1389--1411
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\transl
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\pages 1105--1124
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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