Abstract

We find a syntactic characterization of the class \(\mathrm{\mathbf{SUB}}(\mathcal{S})\cap\mathrm{Fin}\) of finite lattices embeddable into convexity lattices of a certain class of posets which we call star-like posets and which is a proper subclass in the class of N-free posets. The characterization implies that the class \(\mathrm{\mathbf{SUB}}(\mathcal{S})\cap\mathrm{Fin}\) forms a pseudovariety.

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