Definitions from Wiktionary (ordered integral domain)
▸ 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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▸ 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.
Similar:
integral domain,
Euclidean domain,
valuation ring,
principal ideal domain,
field of quotients,
Dedekind domain,
integral,
unique factorization domain,
primitive polynomial,
division algebra,
more...
▸ Words similar to ordered integral domain
▸ Usage examples for ordered integral domain
▸ Idioms related to ordered integral domain
▸ Wikipedia articles (New!)
▸ Words that often appear near ordered integral domain
▸ Rhymes of ordered integral domain
▸ Invented words related to ordered integral domain