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Greatest element and least element

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

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Greatest element and least element

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displaystyle element greatest set leq upper maximal elements least bound also every order ordered partially preordered comparable bounds one called

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