Commutator Leavitt Path Algebras

被引：0
|
作者：
Zachary Mesyan
机构：
[1] University of Colorado,Department of Mathematics
来源：
Algebras and Representation Theory | 2013年 / 16卷
关键词：
Leavitt path algebra; Commutator; Perfect Lie algebra; 16W10; 16D70; 17B60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra LK(E) which lie in the commutator subspace [LK(E), LK(E)]. We then use this result to classify all Leavitt path algebras LK(E) that satisfy LK(E) = [LK(E),LK(E)]. We also show that these Leavitt path algebras have the additional (unusual) property that all their Lie ideals are (ring-theoretic) ideals, and construct examples of such rings with various ideal structures.
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页码：1207 / 1232
页数：25
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