Graph products of residually finite monoids are residually finite

IF 0.8 2区 数学 Q2 MATHEMATICS
Jung Won Cho , Victoria Gould , Nik Ruškuc , Dandan Yang
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引用次数: 0

Abstract

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.

残差有限单体的图积是残差有限的
我们证明,任何残差有限单子的图积都是残差有限的。作为一个特例,我们得到任何残差有限单体的自由积都是残差有限的。接下来是半群图积的相应结果。
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来源期刊
Journal of Algebra
Journal of Algebra 数学-数学
CiteScore
1.50
自引率
22.20%
发文量
414
审稿时长
2-4 weeks
期刊介绍: The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.
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