Semimodular lattice
= Semimodular lattice
{wiki=Semimodular_lattice}
A semimodular lattice is a special type of lattice in the field of order theory and abstract algebra. A lattice \\( L \\) is a partially ordered set (poset) in which any two elements have a unique supremum (join) and an infimum (meet). The term "semimodular" specifically refers to a certain condition that relates to the structure of the lattice.