maximal element
element of S that is not smaller than any other element in S
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maximal element
Summary
Key Facts
- maximal element's subclass of is recorded as extremity[1].
- maximal element's subclass of is recorded as maximal and minimal elements[2].
- maximal element's subclass of is recorded as operation result[3].
- maximal element's subclass of is recorded as mathematical object[4].
- maximal element's opposite of is recorded as minimal element[5].
- maximal element's different from is recorded as maximum[6].
- maximal element's different from is recorded as greatest element[7].
- maximal element's defining formula is recorded as m=Maximal~element(P, \preceq ) \overset{\text{def}}{\iff} ( \exists m \in P (\exists y \in P (m\preceq y) \implies y \preceq m ) )[8].
- maximal element's MathWorld ID is recorded as MaximalElement[9].
- maximal element's nLab ID is recorded as maximal element[10].
- maximal element's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- maximal element's in defining formula is recorded as P[12].
- maximal element's in defining formula is recorded as \preceq[13].
- maximal element's in defining formula is recorded as m[14].
- maximal element's Treccani's Enciclopedia della Matematica ID is recorded as elemento-massimale[15].