Word Pronunciation & Dictionary

ordered integral domain

Word Rarity Rare

Frequency: Zipf frequency 3.75 in modern English

Syllables: or-dered in-te-gral -do-main
IPA

27

Scrabble Score

21

Letters

6

Syllables

11

Unique Chars

Meaning

noun

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.

Inflected Forms

ordered integral domains (plural)

Questions

What does ordered integral domain mean?: 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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