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arXiv · 1610.00858

No finite axiomatizations for posets embeddable into distributive lattices

Rob Egrot
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Abstract

Let $m$ and $n$ be cardinals with $3\leq m,n\leq\omega$. We show that the class of posets that can be embedded into a distributive lattice via a map preserving all existing meets and joins with cardinalities strictly less than $m$ and $n$ respectively cannot be finitely axiomatized.

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Rob Egrot. 2016-10-04. No finite axiomatizations for posets embeddable into distributive lattices. https://doi.org/10.1016/j.apal.2017.11.001

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