ON (n+1)-ARY DERIVATIONS OF SIMPLE n-ARY MAL'TSEV ALGEBRAS

被引：0
|
作者：
Kaigorodov, I. B. [1 ,2 ]
机构：
[1] Russian Acad Sci, SL Sobolev Math Inst, Siberian Branch, Novosibirsk 630090, Russia
[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508 Sao Paulo, Brazil
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2014年 / 25卷 / 04期
基金：
巴西圣保罗研究基金会;
关键词：
Ternary derivation; (n+1)-ary derivation; generalized derivation; Mal'tsev algebra; binary-Lie algebra; ternary Mal'tsev algebra; DELTA-DERIVATIONS; GENERALIZED DERIVATIONS; TERNARY DERIVATIONS; SUPERDERIVATIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The (n + 1)-ary derivations of simple non-Lie n-ary Mal'tsev algebras are described in the case of the binary algebra M-7 and the ternary algebra M-8. As a consequence, a description is obtained for the 3-ary derivations of simple non-Lie Mal'tsev algebras and simple finite-dimensional non-Lie binary-Lie algebras. Examples of semisimple Mal'tsev algebras having nontrivial 3-ary derivations are given.
引用
收藏
页码：575 / 585
页数：11
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