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arXiv · 2501.14688

Fra\"iss\'e limit and Ramsey Theorem: the case of MV-algebras and a categorical generalization

Ciro Russo
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Abstract

In this paper we describe the Fra\"iss\'e 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.

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Ciro Russo. 2025-01-24. Fra\"iss\'e limit and Ramsey Theorem: the case of MV-algebras and a categorical generalization. https://doi.org/10.1007/s11225-025-10175-z

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