Lie ideals of graded associative algebras

被引：0

作者：

Hannes Bierwirth

Mercedes Siles Molina

机构：

[1] Universidad de Málaga,Departamento de Álgebra, Geometría y Topología

来源：

Israel Journal of Mathematics | 2012年 / 191卷

关键词：

Associative Algebra; Jordan Algebra; Jacobi Identity; Homogeneous Element; Prime Algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the Lie structure of graded associative algebras. Essentially, we analyze the relation between Lie and associative graded ideals, and between Lie and associative graded derivations. Gathering together results on both directions, we compute maximal graded algebras of quotients of graded Lie algebras that arise from associative algebras. We also show that the Lie algebra Dergr(A) of graded derivations of a graded semiprime associative algebra is strongly non-degenerate (modulo a certain ideal containing the center of Dergr(A)).

引用

页码：111 / 136

页数：25

共 19 条

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