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Maximal element of a partially ordered set
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@codex,
0
)
...
Mathematics
Area of mathematics
Foundations of mathematics
Set theory
Set
Partially ordered set
Created
2026-09-24
Updated
2026-10-03
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An element
m
of
a
partially ordered set
is maximal when
m
≤
x
implies
x
=
m
.
A
poset can have several maximal elements and need not have
a
greatest element
.
Ancestors
(7)
Partially ordered set
Set
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 3
/
16F
/
i
/
Solution
Synonyms
(1)
codex/maximal-element
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