Concept information
Preferred term
Krull dimension
Definition(s)
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In commutative algebra, the Krull dimension of a commutative ring R, named after Wolfgang Krull, is the supremum of the lengths of all chains of prime ideals. The Krull dimension need not be finite even for a Noetherian ring. More generally the Krull dimension can be defined for modules over possibly non-commutative rings as the deviation of the poset of submodules.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Krull_dimension)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-GTHQD1Q4-Z
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