maximal element


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maximal element

[′mak·sə·məl ′el·ə·mənt]
(mathematics)
References in periodicals archive ?
F is a soft fuzzy T'-ultrafilter if F is a maximal element in the set of soft fuzzy T'-prefilters ordered by the inclusion relation.
is a maximal element of (N(R), [subset or equal to]).
In a traversal from a minimal element to a maximal element in partial order, ineffective paths (those under the lower bound of the similarity) are ignored, i.
A closed filter is said to be ultraclosed if it is a maximal element in the set of all closed filters on X, i.
A poset P is called bounded if it has the unique minimal element and the unique maximal element which are usually denoted [?
If there exists a maximal element [alpha] in Y such that [S.
Observe that we do not require the poset to have a minimal element or a maximal element.
V] has a unique maximal element, which is called the highest weight of V.
We say that P is bounded if it has a unique minimal and a unique maximal element, which we usually denote by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], respectively.
where [tau] is the maximal element of the sylvester class T [5].
D : S [right arrow] L is defined as D(u) = C(e), where e is a maximal element in the set {s [member of] S : us = u} (with respect to the preorder [less than or equal to]).

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