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A Note on the Modularization of Lattices

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Abstract

Valuations on finite lattices have been known for a long time. In this paper, we present a combinatorial procedure called modularization that associates a modular lattice to any given finite lattice such that they have the same valuation polytopes.

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Acknowledgements

The author thanks Prof. Richard Stanley for supervising this project.

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Correspondence to Yibo Gao.

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Gao, Y. A Note on the Modularization of Lattices. Order 37, 311–318 (2020). https://doi.org/10.1007/s11083-019-09507-1

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  • DOI: https://doi.org/10.1007/s11083-019-09507-1

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