Generalizations of free monoids
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917681594105856 |
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| author | Lawson, M. V. Vdovina, A. |
| author_facet | Lawson, M. V. Vdovina, A. |
| contents | We generalize free monoids by defining $k$-monoids. These are nothing other than the one-vertex higher-rank graphs used in $C^{\ast}$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalizations of free monoids Lawson, M. V. Vdovina, A. Category Theory We generalize free monoids by defining $k$-monoids. These are nothing other than the one-vertex higher-rank graphs used in $C^{\ast}$-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. |
| title | Generalizations of free monoids |
| topic | Category Theory |
| url | https://arxiv.org/abs/2403.18449 |