Generalizations of free monoids

Mark V. Lawson; Alina Vdovina

doi:10.1007/s00233-024-10450-w

Generalizations of free monoids

Mark V. Lawson^*, Alina Vdovina

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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Abstract

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.

Original language	English
Pages (from-to)	167-185
Number of pages	19
Journal	Semigroup Forum
Volume	109
Issue number	1
Early online date	12 Jul 2024
DOIs	https://doi.org/10.1007/s00233-024-10450-w
Publication status	Published - Aug 2024

Keywords

Free monoids
Higher rank graphs
The Thompson–Higman groups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00233-024-10450-w

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This version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00233-024-10450-w
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KW - Free monoids

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KW - The Thompson–Higman groups

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Generalizations of free monoids

Abstract

Keywords

ASJC Scopus subject areas

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