(Q111315902)

English

maximal element

element of S that is not smaller than any other element in S

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Statements

subclass of

extremity

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maximal and minimal elements

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operation result

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mathematical object

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defining formula

m = M a x i m a l e l e m e n t (P, ⪯) \overset{def}{⟺} (\exists m \in P (\exists y \in P (m ⪯ y) ⟹ y ⪯ m))

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Wikimedia import URL

https://en.wikipedia.org/wiki/Greatest_element_and_least_element#Contrast_to_maximal_elements_and_local/absolute_maximums

in defining formula

P

symbol represents

ordered set

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⪯

symbol represents

binary relation

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m

symbol represents

maximal element

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

MathWorld ID

MaximalElement

subject named as

Maximal Element

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nLab ID

maximal element

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Treccani's Enciclopedia della Matematica ID

elemento-massimale

subject named as

elemento massimale

publication date

2013

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Sitelinks

Wikipedia(3 entries)

enwiki Maximal element
jawiki 極大元
zhwiki 极大元

(Q111315902)

maximal element

Statements

Identifiers

Sitelinks

Wikipedia(3 entries)

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