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13A18 - Commutative rings and algebras :: General commutative ring theory :: Valuations and their generalizations

alternative definition of Krull valuation owned by polarbear alternative definition of valuation owned by rspuzio any divisor is gcd of two principal divisors owned by pahio continuation of exponent owned by pahio determining the continuations of exponent owned by pahio divisor theory and exponent valuations owned by pahio divisor theory in finite extension owned by pahio divisors in base field and finite extension field owned by pahio equivalent valuations owned by pahio exponent valuation owned by pahio extension of Krull valuation owned by pahio extension of valuation from complete base field owned by pahio henselian field owned by mps Krull valuation owned by pahio Krull valuation domain owned by pahio non-isomorphic completions of $\mathbb{Q}$ owned by pahio order valuation owned by pahio Ostrowski's valuation theorem owned by pahio p-adic valuation owned by pahio place as extension of homomorphism owned by pahio place of field owned by pahio proof of equivalence of definitions of valuation owned by rspuzio proof of Ostrowski's valuation theorem owned by rm50 proof of theorem on equivalent valuations owned by rspuzio properties of non-archimedean valuations owned by rm50 ring of exponent owned by pahio theorems on continuation owned by pahio ultrametric triangle inequality owned by pahio valuation owned by djao valuation determined by valuation domain owned by pahio valuation ring of a field owned by rm50 value group of completion owned by pahio
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