Relation Algebras Compatible with $\mathbb{Z}_2$-sets
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917971065044992 |
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| author | Alm, Jeremy F. Snow, John W. |
| author_facet | Alm, Jeremy F. Snow, John W. |
| contents | We provide a characterization of those relation algebras which are isomorphic to the algebras of compatible relations of some $\Z_2$-set. We further prove that this class is finitely axiomatizable in first-order logic in the language of relation algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08566 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relation Algebras Compatible with $\mathbb{Z}_2$-sets Alm, Jeremy F. Snow, John W. Logic 03G15 We provide a characterization of those relation algebras which are isomorphic to the algebras of compatible relations of some $\Z_2$-set. We further prove that this class is finitely axiomatizable in first-order logic in the language of relation algebras. |
| title | Relation Algebras Compatible with $\mathbb{Z}_2$-sets |
| topic | Logic 03G15 |
| url | https://arxiv.org/abs/2503.08566 |