Zorn's lemma

(redirected from Zorn Lemma)

Zorn's lemma

[′zȯrnz ′lem·ə]
(mathematics)
If every linearly ordered subset of a partially ordered set has a maximal element in the set, then the set has a maximal element.
References in periodicals archive ?
Using the famous Zorn lemma, we get the existence theorems of fixed point for noncontinuous operators in incomplete preference sets.
Then applying Zorn lemma, we have that there is a maximal element [[x.sup.*]] in [OMEGA]/ ~.By the definition of [OMEGA]/ ~, we have that [x.sup.*] is the maximal element in [OMEGA].
Then applying Zorn Lemma, the set [P.sub.i]([p.sub.i], [x.sub.-i])} has a maximal element.