well-order

名词 n. 动词 v.
中文释义

英文释义

名词 n.
  1. A total order of some set such that every nonempty subset contains a least element.
    — 1986, G. Richter, Noetherian semigroup rings with several objects, G. Karpilovsky (editor), Group and Semigroup Rings, Elsevier (North-Holland), page 237, ̲X is well-order enriched iff every morphism set ̲X(X,Y) carries a well-order ≤_(XY) such that f≨_(XY)g⇒h•f≨_(XY)h•g for every h:Y→Z.
动词 v.
  1. To impose a well-order on (a set). transitive
    — The set of positive integers is well-ordered by the relation ≤.

词形变化

well-orders plural well order alternative well-orders present,singular,third-person well-ordering participle,present well-ordered participle,past well-ordered past well order alternative
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