Math 2.0

Concept

Greatest element and least element

Summary

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

Further reading

  1. Wikipedia, page 663041, revision 1320031333, Greatest element and least element. adopted
About this page
TagM3VR2FMG97
URIm2://M3VR2FMG97
Aliasesbottom-element, greatest-and-least-elements, largest-element, largest-member, least-and-greatest-elements, lowest-element, top-element
Kindconcept
WritingW1 stated
Same as
Changed4 November 2026

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What this page needs for W2

  • edge defines in: at least one definition (0 of 1)
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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