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Definition 2 A $p$ ring $R$ is said to be strict (or a $p$ adic ring) if the topology is defined by the $p$ adic filtration $\mA_n=p^nR$ and $p$ is not a zero-divisor of $R$
- 1
- J. P. Serre, Local Fields, Springer-Verlag, New York.
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"p-ring" is owned by alozano.
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(view preamble | get metadata)
| Other names: |
 -ring, p-adic ring, -adic ring, strict -ring |
| Also defines: |
strict p-ring |
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Cross-references: profinite topology, filtration, strict, complete, Hausdorff, characteristic, perfect ring, ring, residue, ideals, sequence, decreasing, topology, identity element, commutative ring
There is 1 reference to this entry.
This is version 1 of p-ring, born on 2005-05-06.
Object id is 7016, canonical name is PRing.
Accessed 4823 times total.
Classification:
| AMS MSC: | 13J10 (Commutative rings and algebras :: Topological rings and modules :: Complete rings, completion) | | | 13K05 (Commutative rings and algebras :: Witt vectors and related rings) |
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Pending Errata and Addenda
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