自由单体的广义

Pub Date : 2024-07-12 DOI:10.1007/s00233-024-10450-w

Mark V. Lawson, Alina Vdovina

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引用次数: 0

摘要

我们通过定义 k-monoids 来概括自由单元。它们只不过是 \(C^{*}\)- 代数理论中使用的单顶点高阶图，但放弃了心数要求。1-单体正是自由单体。接下来，我们将进一步推广 k 单体，使自相似群作用产生这种类型的单体。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Generalizations of free monoids

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Generalizations of free monoids

We generalize free monoids by defining k-monoids. These are nothing other than the one-vertex higher-rank graphs used in \(C^{*}\)-algebra theory with the cardinality requirement waived. The 1-monoids are precisely the free monoids. We then take the next step and generalize k-monoids in such a way that self-similar group actions yield monoids of this type.

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