Fraïssé limit and Ramsey Theorem: the case of MV-algebras and a categorical generalization
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913965459636224 |
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| author | Russo, Ciro |
| author_facet | Russo, Ciro |
| contents | In this paper we describe the Fraïssé limit of finite MV-algebras and then prove that finite MV-algebras verify the Ramsey property. Then we show that MV-algebras are just a special case of a more general situation. In fact, under minumum conditions for the application of the Kechris-Pestov-Todorcevic correspondence, Ramsey property holds for a certain category of finite structures if and only if it holds for a completion subcategory of it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14688 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fraïssé limit and Ramsey Theorem: the case of MV-algebras and a categorical generalization Russo, Ciro Logic Category Theory In this paper we describe the Fraïssé limit of finite MV-algebras and then prove that finite MV-algebras verify the Ramsey property. Then we show that MV-algebras are just a special case of a more general situation. In fact, under minumum conditions for the application of the Kechris-Pestov-Todorcevic correspondence, Ramsey property holds for a certain category of finite structures if and only if it holds for a completion subcategory of it. |
| title | Fraïssé limit and Ramsey Theorem: the case of MV-algebras and a categorical generalization |
| topic | Logic Category Theory |
| url | https://arxiv.org/abs/2501.14688 |