On Lattices Embeddable into Lattices of Order-Convex Sets. II Star-like Posets |
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| Authors: | Marina Semenova Anna Zamojska-Dzienio |
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| Affiliation: | 1.Sobolev Institute of Mathematics, Siberian Branch RAS,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia;3.Faculty of Mathematics and Information Science,Warsaw University of Technology,Warsaw,Poland |
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| Abstract: | ![]()
We find a syntactic characterization of the class (mathrm{mathbf{SUB}}(mathcal{S})capmathrm{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})capmathrm{Fin}) forms a pseudovariety. |
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