Krull dimension: Difference between revisions

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{{commring dimension notion}}
==Definition==
==Definition==


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The '''Krull dimension''' of a [[commutative unital ring]] is the supremum of lengths of descending chains of distinct [[prime ideal]]s.
The '''Krull dimension''' of a [[commutative unital ring]] is the supremum of lengths of descending chains of distinct [[prime ideal]]s.
[[Category: Numerical invariants of commutative rings]]
[[Category: Notions of dimension]]

Revision as of 16:20, 30 June 2007

Template:Commring dimension notion

Definition

Symbol-free definition

The Krull dimension of a commutative unital ring is the supremum of lengths of descending chains of distinct prime ideals.