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ordered integral domain. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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English
Noun
ordered integral domain (plural ordered integral domains)
- (algebra) 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.
Hyponyms