Word.ws English Dictionary

well-orders

well-orders is the plural of well-order.

Meaning of well-order

Noun

well-order (plural well-orders)

  1. A total order of some set such that every nonempty subset contains a least element.
    • ̲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.1986, G. Richter, Noetherian semigroup rings with several objects, G. Karpilovsky (editor), Group and Semigroup Rings, Elsevier (North-Holland), page 237
    Synonyms:
    well-ordering

See all 2 meanings of well-order

Questions about well-orders

What is well-orders the plural of?
Well-orders is the plural of well-order.

Words near well-orders in the dictionary

  1. well-order
  2. well-orderable
  3. well-ordered
  4. well-ordering
  5. well-orderings
  6. well-orders
  7. well-organized
  8. well-padded
  9. well-paid
  10. well-placed
  11. well-planned

Source and license

Adapted from Wiktionary: well-orders (page history and authors); well-order (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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