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.
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收藏
页码：34 / 53
页数：20
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