Lie ideals of graded associative algebras

被引：4

作者：

Bierwirth, Hannes ^{[1
]}

Siles Molina, Mercedes ^{[1
]}

机构：

[1] Univ Malaga, Dept Algebra Geometria & Topol, E-29071 Malaga, Spain

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2012年 / 191卷 / 01期

关键词：

QUOTIENTS; RING;

D O I：

10.1007/s11856-011-0201-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 Der (gr) (A) of graded derivations of a graded semiprime associative algebra is strongly non-degenerate (modulo a certain ideal containing the center of Der (gr) (A)).

引用

页码：111 / 136

页数：26

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