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About: Modulus (algebraic number theory)     Goto   Sponge   NotDistinct   Permalink

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In mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle, or extended ideal) is a formal product of places of a global field (i.e. an algebraic number field or a global function field). It is used to encode ramification data for abelian extensions of a global field.