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

共 50 条

[1] Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part
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[J]. SBORNIK MATHEMATICS, 2017, 208 (04) : 531 - 545
[2] Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part
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[J]. JOURNAL OF ALGEBRA, 2019, 528 : 150 - 176
[3] Simple Right-Alternative Superalgebras with Semisimple Even Part
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[J]. SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (02) : 304 - 321
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[5] Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero
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[J]. IZVESTIYA MATHEMATICS, 2018, 82 (03) : 578 - 595
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[8] Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero
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[J]. IZVESTIYA MATHEMATICS, 2015, 79 (03) : 554 - 580
[9] Simple finite-dimensional right alternative superalgebras with unitary even part over a field of characteristic 0
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[J]. MATHEMATICAL NOTES, 2016, 100 (3-4) : 589 - 596
[10] Simple finite-dimensional right alternative superalgebras with unitary even part over a field of characteristic 0
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