Finite-dimensional leavitt path algebras

被引：51

作者：

Abrams, G. ^{[1
]}

Aranda Pino, G.

Siles Molina, M.

机构：

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA

[2] Univ Complutense Madrid, Dept Algebra, E-28040 Madrid, Spain

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

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2007年 / 209卷 / 03期

关键词：

D O I：

10.1016/j.jpaa.2006.07.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify the directed graphs E for which the Leavitt path algebra L(E) is finite dimensional. In our main results we provide two distinct classes of connected graphs from which, modulo the one-dimensional ideals, all finite-dimensional Leavitt path algebras arise. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：753 / 762

页数：10

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