Valuation (algebra)

id: valuation-algebra-324-8592762
title: Valuation (algebra)
text: In algebra, a valuation is a function on a field that provides a measure of the size or multiplicity of elements of the field. It generalizes to commutative algebra the notion of size inherent in consideration of the degree of a pole or multiplicity of a zero in complex analysis, the degree of divisibility of a number by a prime number in number theory, and the geometrical concept of contact between two algebraic or analytic varieties in algebraic geometry. A field with a valuation on it is call
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Valuation_(algebra)
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date modified: 2024-02-05T15:25:49Z
main entity: {"identifier":"Q852757","url":"https://www.wikidata.org/entity/Q852757"}
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