Maximal and minimal elements
ELEMENTS OF PARTIALLY ORDERED SETS SUCH THAT THERE IS NOT GREATER AND SMALLER THAN EACH OTHER ELEMENT, RESPECTIVELY (BUT THERE CAN BE INCOMPARABLE ELEMENTS)
Minimal element; Maximal elements; Maximal element
In mathematics, especially in order theory, a maximal element of a subset S of some preordered set is an element of S that is not smaller than any other element in S. A minimal element of a subset S of some preordered set is defined dually as an element of S that is not greater than any other element in S.