Exchange Leavitt path algebras and stable rank

被引：58

作者：

Pino, G. Aranda

Pardo, E.

Molina, M. Siles ^{[1
]}

机构：

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

[2] Univ Cadiz, Dept Matemat, Cadiz 11510, Spain

来源：

JOURNAL OF ALGEBRA | 2006年 / 305卷 / 02期

关键词：

graph; Leavitt path algebra; exchange ring; stable rank;

D O I：

10.1016/j.jalgebra.2005.12.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize those Leavitt path algebras which are exchange rings in terms of intrinsic properties of the graph and show that the values of the stable rank for these algebras are 1, 2 or infinity. Concrete criteria in terms of properties of the underlying graph are given for each case. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：912 / 936

页数：25

共 20 条

[1] The Leavitt path algebra of a graph [J].