ON SOME IDEAL STRUCTURE OF LEAVITT PATH ALGEBRAS WITH COEFFICIENTS IN INTEGRAL DOMAINS

被引：0

作者：

Deo, Trinh Thanh ^{[1
,2
,3
]}

Chi, Vo Thanh ^{[1
,2
,3
]}

机构：

[1] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] 227 Nguyen Cu Str,Dist 5, Ho Chi Minh City, Vietnam

[3] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2023年 / 33卷

关键词：

Leavitt path algebra; prime ideal; basic ideal; maximal ideal;

D O I：

10.24330/ieja.1229771

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present results concerning the structure of the ideals in the Leavitt path algebra of a (countable) directed graph with co-efficients in an integral domain, such as, describing the set of generators for an ideal; the necessary and sufficient conditions for an ideal to be prime; the necessary and sufficient conditions for a Leavitt path algebra to be simple. Besides, some other interesting properties of ideal structure in a Leavitt path algebra are also mentioned.

引用

页码：34 / 53

页数：20

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