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Reference.org
Flat lattice
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, in the area of <a href="/facts/Order_theory/gn6fM3oJ">order theory</a>, the flat lattice on a multielement set X {\displaystyle X} is the smallest <a href="/facts/Lattice_(order)/5ak6ufky">lattice</a> containing the elements of X {\displaystyle X} in which those elements are all pairwise incomparable; equivalently, it is the rank-3 lattice where X {\displaystyle X} is exactly the set of elements of intermediate rank. </p>