maximal member

maximal member

[′mak·sə·məl ′mem·bər]
(mathematics)
In a partially ordered set a maximal member is one for which no other element follows it in the ordering. Also known as maximal element.
References in periodicals archive ?
By Zorn's lemma, K(G,A) contains a maximal member B.
is defined to be the unique maximal member among the family of ideals
In [Laz, II.11.1.A] it is shown that there exists a maximal member in the above family, that it is unique and also that I(n [parallel]D[parallel]) = I([parallel]nD[parallel]).

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