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algebra > commutative algebra > commutative ring > Krull dimension
... > algebra > abstract algebra > algebraic structure > ring theory > ring > commutative ring > Krull dimension
geometry > algebraic geometry > algebraic variety > Krull dimension

Terme préférentiel

Krull dimension  

Définition

  • 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)

Concept générique

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URI

http://data.loterre.fr/ark:/67375/PSR-GTHQD1Q4-Z

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RDF/XML TURTLE JSON-LD Date de création 21/07/2023, dernière modification le 21/07/2023