Math 2.0

Concept

Maximal and minimal elements

Summary

In mathematics, especially in order theory, a maximal element of a subset SS of some preordered set is an element of SS that is not smaller than any other element in SS. A minimal element of a subset SS of some preordered set is defined dually as an element of SS that is not greater than any other element in SS.

Further reading

  1. Wikipedia, page 303398, revision 1338982942, Maximal and minimal elements. adopted
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WritingW1 stated
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Changed4 November 2026

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