The regular algebra of a quiver

被引：22

作者：

Ara, Pere ^{[1
]}

Brustenga, Miquel ^{[1
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain

来源：

JOURNAL OF ALGEBRA | 2007年 / 309卷 / 01期

关键词：

Von Neumann regular ring; path algebra; Leavitt path algebra; universal localization;

D O I：

10.1016/j.jalgebra.2006.10.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a fixed field. We attach to each column-finite quiver E a von Neumann regular K-algebra Q(E) in a functorial way. The algebra Q(E) is a universal localization of the usual path algebra P(E) associated with E. The monoid of isomorphism classes of finitely generated projective right Q(E)-modules is explicitly computed. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：207 / 235

页数：29

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