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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A proof of Whitman’s representation theorem for finite lattices


Author: S. K. Thomason
Journal: Proc. Amer. Math. Soc. 25 (1970), 618-619
MSC: Primary 06.30
DOI: https://doi.org/10.1090/S0002-9939-1970-0265234-9
MathSciNet review: 0265234
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Abstract | References | Similar Articles | Additional Information

Abstract: The theorem to be proved states that every finite lattice is isomorphic to a sublattice of the lattice $\mathcal {E}(S)$ of all equivalence relations on a countable set $S$. Our proof combines concreteness with freedom from long routine computations.


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Keywords: Representations of lattices, lattices of equivalence relations
Article copyright: © Copyright 1970 American Mathematical Society