On δ-derivations of n-ary algebras

被引：13
|
作者：
Kaygorodov, I. B. [1 ,2 ,3 ]
机构：
[1] Russian Acad Sci, Sobolev Inst Math, Siberian Div, Novosibirsk, Russia
[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508 Sao Paulo, Brazil
[3] Novosibirsk State Univ, Novosibirsk, Russia
来源：
IZVESTIYA MATHEMATICS | 2012年 / 76卷 / 06期
基金：
巴西圣保罗研究基金会; 俄罗斯基础研究基金会;
关键词：
delta-derivation; Filippov algebra; ternary Mal'tsev algebra; FINITE-DIMENSIONAL JORDAN; SUPERDERIVATIONS;
D O I：
10.1070/IM2012v076n06ABEH002618
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：1150 / 1162
页数：13
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