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Proceedings of the American Mathematical Society

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On modular lattices of order dimension two


Author: Rudolf Wille
Journal: Proc. Amer. Math. Soc. 43 (1974), 287-292
MSC: Primary 06A30
DOI: https://doi.org/10.1090/S0002-9939-1974-0329988-9
MathSciNet review: 0329988
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Abstract: In this note, it is shown that a modular lattice has order dimension $ \leqq 2$ if and only if it contains no subset isomorphic to one of five described partially ordered sets.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0329988-9
Keywords: Partially ordered set, order dimension, lattice, modular, distributive, finitely generated
Article copyright: © Copyright 1974 American Mathematical Society