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Reference.org
Modulus (algebraic number theory)
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, in the field of <a href="/facts/Algebraic_number_theory/LPzDT5CA">algebraic number theory</a>, a modulus (plural moduli) (or cycle, or extended ideal) is a formal product of <a href="/facts/Place_(mathematics)/LPzDT5CA">places</a> of a <a href="/facts/Global_field/na458xWs">global field</a> (i.e. an <a href="/facts/Algebraic_number_field/e0K0TXSh">algebraic number field</a> or a <a href="/facts/Global_function_field/na458xWs">global function field</a>). It is used to encode <a href="/facts/Ramification_(mathematics)/y4mDBqjo">ramification</a> data for <a href="/facts/Abelian_extension/vIdW4Hnv">abelian extensions</a> of a global field. </p>