ordered integral domains

A form of ordered integral domain — 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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Meanings

noun
  1. pluralplural of ordered integral domain
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APA

ordered integral domains. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/ordered%20integral%20domains

MLA

“ordered integral domains.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ordered%20integral%20domains. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “ordered integral domains,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/ordered%20integral%20domains.

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