English Explanatory Dictionary

Krull dimension

English dictionary entry

Meanings

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

Word forms

Krull dimension

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.

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