Phrase guide

ordered integral domain

noun · 1 senses · updated from the 2026-07-25 local source snapshot

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1

noun

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Topics: algebra, mathematics, sciences

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