Word Pronunciation & Dictionary

krull dimension

Word Rarity Very rare

Frequency: Zipf frequency 2.14 in modern English

Syllables: krul-l di-men-sion
IPA

21

Scrabble Score

14

Letters

4

Syllables

11

Unique Chars

Meaning

noun

The supremum of the lengths of all chains of prime ideals.

Uncountable

Etymology

Named for Wolfgang Krull, for his work on the height of finitely generated ideals of noetherian rings. The term dimension is from the correspondence between the geometric dimension of an affine variety and the Krull dimension of its coordinate ring.

Usage

Uncountable

Questions

What does krull dimension mean?: The supremum of the lengths of all chains of prime ideals.
Where does krull dimension come from?: Named for Wolfgang Krull, for his work on the height of finitely generated ideals of noetherian rings. The term dimension is from the correspondence between the geometric dimension of an affine variety and the Krull dimension of its coordinate ring.

How to pronounce krull dimension

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