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Atom (order theory)
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==Coatoms== The terms ''coatom'', ''coatomic'', and ''coatomistic'' are defined dually. Thus, in a partially ordered set with [[greatest element]] '''1''', one says that * a '''coatom''' is an element covered by '''1''', * the set is '''coatomic''' if every ''b'' < '''1''' has a coatom ''c'' above it, and * the set is '''coatomistic''' if every element is the [[greatest lower bound]] of a set of coatoms.
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