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arxiv: 2503.08566 · v3 · pith:BEYKNKAPnew · submitted 2025-03-11 · 🧮 math.LO

Relation Algebras Compatible with mathbb{Z}₂-sets

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keywords algebrasrelationcompatibleaxiomatizablecharacterizationclassfinitelyfirst-order
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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.

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