On Lattices Embeddable into Lattices of Order-Convex Sets. Ⅱ Star-like Posets

摘要

We find a syntactic characterization of the class SUB(S) ∩ 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 SUB(5) ∩ Fin forms a pseudovariety.