积分域上带系数的Leavitt路径代数的理想结构

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2023-01-05 DOI:10.24330/ieja.1229771

Trinh Thanh Deo, Vo Thanh Chi

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引用次数: 2

摘要

本文给出了在积分域上带系数的(可数)有向图的Leavitt路径代数中理想的结构的一些结果，例如:描述了理想的生成集;素数:理想为素数的充分必要条件;给出了莱维特路径代数简单的充分必要条件。此外，还讨论了莱维特路径代数中理想结构的其他一些有趣的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On some ideal structure of Leavitt path algebras with coefficients in integral domains

In this paper, we present results concerning the structure of the ideals in the Leavitt path algebra of a (countable) directed graph with coefficients 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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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.