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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 413–420
DOI: https://doi.org/10.4213/mzm2827 (Mi mzm2827) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Structure of finitely generated commutative alternative algebras and special Moufang loops

S. V. Pchelintsev

Finance Academy under the Government of the Russian Federation
Full-text PDF (414 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2827
Abstract: It is proved that the commutator ideal of the multiplication algebra of a free commutative alternative algebra of rank $n$ is nilpotent of index $n-1$. As a corollary to this fact, the Bruck theorem for special commutative Moufang loops is derived.
Keywords: commutative Moufang loop, central nilpotency, alternative algebra, special Moufang loop.
Received: 17.05.2005
Revised: 12.01.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 396–402
DOI: https://doi.org/10.1007/s11006-006-0152-1
Bibliographic databases:
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, “Structure of finitely generated commutative alternative algebras and special Moufang loops”, Mat. Zametki, 80:3 (2006), 413–420; Math. Notes, 80:3 (2006), 396–402
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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