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ordered integral domains

ordered integral domains is the plural of ordered integral domain.

Meaning of ordered integral domain

Noun

ordered integral domain (plural ordered integral domains)

  1. An integral domain which has a subset whose elements are said to be "positive", such that this subset is closed under addition, closed under multiplication, and all elements of the integral domain satisfy a law of trichotomy; namely, that either that element is in the said subset, or it is the zero (additive identity), or its product with −1 (the additive inverse of the multiplicative identity) belongs to the said subset.

Questions about ordered integral domains

What is ordered integral domains the plural of?
Ordered integral domains is the plural of ordered integral domain.

Words near ordered integral domains in the dictionary

  1. ordered around
  2. ordered field
  3. ordered fields
  4. ordered in
  5. ordered integral domain
  6. ordered integral domains
  7. ordered out
  8. ordered pair
  9. ordered pairs
  10. ordered ring
  11. ordered rings

Source and license

Adapted from Wiktionary: ordered integral domains (page history and authors); ordered integral domain (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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