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Forbidden configurations for distributive and modular ordered sets

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Abstract

As modular and distributive ordered sets generalize modular and distributive lattices, it is a natural question to ask whether there exist some ‘forbidden configurations’ for those ordered sets. We present such configurations in the form of strong subsets and LU subsets.

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Communicated by R. P. Dilworth

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Chajda, I., Rachůnek, J. Forbidden configurations for distributive and modular ordered sets. Order 5, 407–423 (1989). https://doi.org/10.1007/BF00353659

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  • DOI: https://doi.org/10.1007/BF00353659

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