ON PRIME NONPRIMITIVE VON NEUMANN REGULAR ALGEBRAS

被引：22

作者：

Abrams, Gene ^{[1
]}

Bell, Jason P. ^{[2
]}

Rangaswamy, Kulumani M. ^{[1
]}

机构：

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80918 USA

[2] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 366卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Leavitt path algebra; prime ring; primitive ring; countable separation property; LEAVITT PATH ALGEBRAS; ARBITRARY GRAPHS; RINGS; SOCLE;

D O I：

10.1090/S0002-9947-2014-05878-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be any directed graph, and K any field. We classify those graphs E for which the Leavitt path algebra L-K(E) is primitive. As a consequence, we obtain classes of examples of von Neumann regular prime rings which are not primitive.

引用

页码：2375 / 2392

页数：18

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