= Pierce–Birkhoff conjecture
{wiki=Pierce–Birkhoff_conjecture}
The Pierce–Birkhoff conjecture is a conjecture in the field of lattice theory, specifically concerning finite distributive lattices and their Maximal Chains. It was proposed by the mathematicians Benjamin Pierce and George Birkhoff. The conjecture essentially deals with the nature of certain kinds of chains (series of elements) within these lattices and posits conditions under which certain structural properties hold.
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