Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part

被引：10
|
作者：
Pchelintsev, S. V. [1 ,2 ]
Shashkov, O. V. [1 ]
机构：
[1] Financial Univ Govt Russian Federat, Moscow, Russia
[2] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk, Russia
来源：
SBORNIK MATHEMATICS | 2017年 / 208卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
simple superalgebra; right-alternative superalgebra; super-algebra of Abelian type; SIMPLE JORDAN SUPERALGEBRAS;
D O I：
10.1070/SM8678
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that a simple finite-dimensional right-alternative unital superalgebra with semisimple strongly associative even part over a field of characteristic not equal 2 is either non-associative, or a superalgebra of Abelian type. A classification of such superalgebras over an algebraically closed field is given. Bibliography: 21 titles.
引用
收藏
页码：223 / 236
页数：14
相关论文
共 50 条
12345