From free idempotent monoids to free multiplicatively idempotent rigs
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914937600737280 |
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| author | Rogers, Morgan |
| author_facet | Rogers, Morgan |
| contents | A multiplicatively idempotent rig (which we abbreviate to mirig) is a rig satisfying the equation $r^2 = r$. We show that a free mirig on finitely many generators is finite and compute its size. This work was originally motivated by a collaborative effort on the decentralized social network Mastodon to compute the size of the free mirig on two generators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_17440 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From free idempotent monoids to free multiplicatively idempotent rigs Rogers, Morgan Rings and Algebras Combinatorics Group Theory 20M05, 16Y60, 16U40 A multiplicatively idempotent rig (which we abbreviate to mirig) is a rig satisfying the equation $r^2 = r$. We show that a free mirig on finitely many generators is finite and compute its size. This work was originally motivated by a collaborative effort on the decentralized social network Mastodon to compute the size of the free mirig on two generators. |
| title | From free idempotent monoids to free multiplicatively idempotent rigs |
| topic | Rings and Algebras Combinatorics Group Theory 20M05, 16Y60, 16U40 |
| url | https://arxiv.org/abs/2408.17440 |