Ordered-integral-domain Definition

noun

(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.

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Other Word Forms of Ordered-integral-domain

Noun

Singular:
ordered-integral-domain
Plural:
ordered integral domains

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