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Matematicheskie Zametki, 2014, Volume 96, Issue 2, Pages 217–227
DOI: https://doi.org/10.4213/mzm9382 (Mi mzm9382) 		 
This article is cited in 19 scientific papers (total in 19 papers)

$(n+1)$-ary Derivations of Semisimple Filippov algebras

I. B. Kaygorodovab

a Universidade de São Paulo, Instituto de Matemática e Estatística, Brazil
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (503 kB) Citations (19)
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DOI: https://doi.org/10.4213/mzm9382
Abstract: The structure of generalized and $(n+1)$-ary derivations of simple and semisimple finite-dimensional Filippov algebras over an algebraically closed field of characteristic zero is described. An example of a semisimple ternary Maltsev algebra is given which is not a Filippov algebra and admits a nontrivial $4$-ary derivation.
Keywords: $n+1$-ary derivation, semisimple Filippov algebra, simple finite-dimensional Filippov algebra, ternary Maltsev algebra.
Received: 17.04.2012
Revised: 30.09.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 2, Pages 208–216
DOI: https://doi.org/10.1134/S0001434614070220
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: I. B. Kaygorodov, “$(n+1)$-ary Derivations of Semisimple Filippov algebras”, Mat. Zametki, 96:2 (2014), 217–227; Math. Notes, 96:2 (2014), 208–216
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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