On delta-derivations of n-ary algebras


Autoria(s): Kaygorodov, I. B.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

06/11/2013

06/11/2013

2012

Resumo

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.

Russian Foundation for Basic Research [11-01-00938-A]

Federal Target Programme 'Scientific and Scientific-Pedagogical Personnel of Innovative Russia' [14.740.11.0346]

Sao Paulo Research Foundation (FAPESP) [2011/51132-9]

Identificador

IZVESTIYA MATHEMATICS, BRISTOL, v. 76, n. 6, pp. 1150-1162, 2012

1064-5632

http://www.producao.usp.br/handle/BDPI/42070

10.1070/IM2012v076n06ABEH002618

http://dx.doi.org/10.1070/IM2012v076n06ABEH002618

Idioma(s)

eng

Publicador

TURPION LTD

BRISTOL

Relação

IZVESTIYA MATHEMATICS

Direitos

restrictedAccess

Copyright TURPION LTD

Palavras-Chave #DELTA-DERIVATION #FILIPPOV ALGEBRA #TERNARY MAL'TSEV ALGEBRA #FINITE-DIMENSIONAL JORDAN #LIE-ALGEBRAS #SUPERALGEBRAS #SUPERDERIVATIONS #MATHEMATICS
Tipo

article

original article

publishedVersion