Greatest element and least element

In mathematics, especially in order theory, the greatest element of a subset of a partially ordered set (poset) is an element of that is greater than every other element of . The term least element is defined dually, that is, it is an element of that is smaller than every other element of

Hasse diagram of the set of divisors of 60, partially ordered by the relation " divides ". The red subset has two maximal elements, viz. 3 and 4, and one minimal element, viz. 1, which is also its least element.

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