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valuation determined by valuation domain
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(Theorem)
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"valuation determined by valuation domain" is owned by pahio.
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(view preamble)
Cross-references: field, mapping, ordered group equipped with zero, subsemigroup, valuation domain is local, maximal ideal, cosets, factor group, multiplicative group, normal subgroup, group of units, field of fractions, Krull valuation, valuation domain
This is version 7 of valuation determined by valuation domain, born on 2004-12-28, modified 2006-12-26.
Object id is 6602, canonical name is ValuationDeterminedByValuationDomain.
Accessed 959 times total.
Classification:
| AMS MSC: | 11R99 (Number theory :: Algebraic number theory: global fields :: Miscellaneous) | | | 12J20 (Field theory and polynomials :: Topological fields :: General valuation theory) | | | 13A18 (Commutative rings and algebras :: General commutative ring theory :: Valuations and their generalizations) | | | 13F30 (Commutative rings and algebras :: Arithmetic rings and other special rings :: Valuation rings) |
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Pending Errata and Addenda
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