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Jaffard ring
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(Definition)
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"Jaffard ring" is owned by mathcam.
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(view preamble)
| Also defines: |
Jaffard domain, Jaffard |
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Cross-references: integral domain, rational, constant term, power series, subring, examples of rings, noetherian rings, bound on the Krull dimension of polynomial rings, ring, Krull dimension
This is version 1 of Jaffard ring, born on 2005-06-29.
Object id is 7197, canonical name is JaffardRing.
Accessed 2299 times total.
Classification:
| AMS MSC: | 13F05 (Commutative rings and algebras :: Arithmetic rings and other special rings :: Dedekind, Prüfer and Krull rings and their generalizations) |
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Pending Errata and Addenda
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![$ \operatorname{dim}(A[x])=\operatorname{dim}(A)+1$](http://images.planetmath.org:8080/cache/objects/7197/l2h/img3.png "$ \operatorname{dim}(A[x])=\operatorname{dim}(A)+1$"){kind=small}
![$ \overline {\mathbb{Q}}[[T]]$](http://images.planetmath.org:8080/cache/objects/7197/l2h/img4.png "$ \overline {\mathbb{Q}}[[T]]$"){kind=small}