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Algebra and Discrete Mathematics, 2010, Volume 9, Issue 1, Pages 16–30 (Mi adm18)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

On commutative nilalgebras of low dimension

Juan C. Gutierrez Fernandez

Departamento de Matemática-IME, Universidade de São Paulo Caixa Postal 66281, CEP 05315-970, São Paulo, SP, Brazil
Full-text PDF (262 kB) Citations (2)
Abstract: We prove that every commutative non-associative nilalgebra of dimension $\leq 7$, over a field of characteristic zero or sufficiently large is solvable.
Keywords: solvable, commutative, nilalgebra.
Received: 19.09.2008
Revised: 19.09.2008
Bibliographic databases:
Document Type: Article
MSC: 17A05,17A30
Language: English
Citation: Juan C. Gutierrez Fernandez, “On commutative nilalgebras of low dimension”, Algebra Discrete Math., 9:1 (2010), 16–30
Citation in format AMSBIB
\Bibitem{Fer10}
\by Juan C. Gutierrez Fernandez
\paper On commutative nilalgebras of low dimension
\jour Algebra Discrete Math.
\yr 2010
\vol 9
\issue 1
\pages 16--30
\mathnet{http://mi.mathnet.ru/adm18}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676709}
\zmath{https://zbmath.org/?q=an:1233.17002}
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  • https://www.mathnet.ru/eng/adm/v9/i1/p16
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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