Home
Random
Nearby
Log in
Settings
Donate
About Wikidata
Disclaimers
Search
(Q111315902)
Watch
English
maximal element
element of S that is not smaller than any other element in S
In more languages
edit
Statements
subclass of
extremity
0 references
maximal and minimal elements
0 references
operation result
0 references
mathematical object
0 references
defining formula
m
=
M
a
x
i
m
a
l
e
l
e
m
e
n
t
(
P
,
⪯
)
⟺
def
(
∃
m
∈
P
(
∃
y
∈
P
(
m
⪯
y
)
⟹
y
⪯
m
)
)
{\displaystyle m=Maximal~element(P,\preceq ){\overset {\text{def}}{\iff }}(\exists m\in P(\exists y\in P(m\preceq y)\implies y\preceq m))}
1 reference
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
{\displaystyle P}
symbol represents
ordered set
0 references
⪯
{\displaystyle \preceq }
symbol represents
binary relation
0 references
m
{\displaystyle m}
symbol represents
maximal element
0 references
maintained by WikiProject
WikiProject Mathematics
0 references
opposite of
minimal element
0 references
different from
maximum
0 references
greatest element
0 references
Identifiers
MathWorld ID
MaximalElement
0 references
nLab ID
maximal element
0 references
Treccani's Enciclopedia della Matematica ID
elemento-massimale
subject named as
elemento massimale
publication date
2013
0 references
Sitelinks
Wikipedia
(3 entries)
edit
enwiki
Maximal element
jawiki
極大元
zhwiki
极大元
Wikibooks
(0 entries)
edit
Wikinews
(0 entries)
edit
Wikiquote
(0 entries)
edit
Wikisource
(0 entries)
edit
Wikiversity
(0 entries)
edit
Wikivoyage
(0 entries)
edit
Wiktionary
(0 entries)
edit
Multilingual sites
(0 entries)
edit
