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

页码：223 / 236

页数：14

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