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Izvestiya: Mathematics, 2012, Volume 76, Issue 6, Pages 1150–1162
DOI: https://doi.org/10.1070/IM2012v076n06ABEH002618 (Mi im7907) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On $\delta$-derivations of $n$-ary algebras

I. B. Kaygorodovabc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Universidade de São Paulo, Instituto de Matemática e Estatística
English version PDF (273 kB) Citations (15) Russian version article
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DOI: https://doi.org/10.1070/IM2012v076n06ABEH002618
Abstract: We give a description of $\delta$-derivations of $(n+1)$-dimensional $n$-ary Filippov algebras and, as a consequence, of simple finite-dimensional Filippov algebras over an algebraically closed field of characteristic zero. We also give new examples of non-trivial $\delta$-derivations of Filippov algebras and show that there are no non-trivial $\delta$-derivations of the simple ternary Mal'tsev algebra $M_8$.
Keywords: $\delta$-derivation, Filippov algebra, ternary Mal'tsev algebra.
Received: 23.08.2011
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 17A36, 17A40, 17A42
Language: English
Original paper language: Russian
Citation: I. B. Kaygorodov, “On $\delta$-derivations of $n$-ary algebras”, Izv. Math., 76:6 (2012), 1150–1162
Citation in format AMSBIB
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\by I.~B.~Kaygorodov
\paper On $\delta$-derivations of $n$-ary algebras
\jour Izv. Math.
\yr 2012
\vol 76
\issue 6
\pages 1150--1162
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  • https://www.mathnet.ru/eng/im/v76/i6/p81
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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