Graph products of residually finite monoids are residually finite

被引：0

作者：

Cho, Jung Won ^{[1
]}

Gould, Victoria ^{[2
]}

Ruskuc, Nik ^{[1
]}

Yang, Dandan ^{[3
]}

机构：

[1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland

[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[3] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2025年 / 662卷

基金：

中国国家自然科学基金; 英国工程与自然科学研究理事会;

关键词：

Monoids; Free products; Graph products; Residual finiteness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any graph product of residually finite monoids is residually finite. As a special case we obtain that any free product of residually finite monoids is residually finite. The corresponding results for graph products of semigroups follow. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：514 / 527

页数：14

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