Krull dimension

English

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.

Noun

Krull dimension (uncountable)

1. (commutative algebra, of a commutative ring) The supremum of the lengths of all chains of prime ideals.