IMBEDDING LIE ALGEBRAS IN STRONGLY PRIME ALGEBRAS

被引：2

作者：

Anquela, Jose A. ^{[1
]}

Cortes, Teresa ^{[1
]}

机构：

[1] Univ Oviedo, Dept Matemat, Oviedo 33007, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 07期

关键词：

Associative algebra; Heart; Lie algebra; Simple; Strongly prime; JORDAN; RINGS;

D O I：

10.1080/00927872.2012.660257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any Lie algebra with a sufficiently good module structure imbeds in a strongly prime Lie algebra with simple nondegenerate heart, spanned as a direct sum by the isomorphic image of the original algebra and the heart.

引用

页码：2467 / 2475

页数：9

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