Complemented lattices are special types of lattices in which every element has a complement. This means that for any element 'a' in the lattice, there exists another element 'b' such that the meet (greatest lower bound) of 'a' and 'b' is the minimum element (often denoted as 0) and the join (least upper bound) of 'a' and 'b' is the maximum element (often denoted as 1). This property helps in simplifying complex structures and plays a crucial role in various applications within order theory and algebra.
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