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- Ideal_norm abstract "In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension. It is particularly important in number theory since it measures the size of an ideal of a complicated number ring in terms of an ideal in a less complicated ring. When the less complicated number ring is taken to be the ring of integers, Z, then the norm of a nonzero ideal I of a number ring R is simply the size of the finite quotient ring R/I.".
- Ideal_norm wikiPageID "460672".
- Ideal_norm wikiPageLength "6297".
- Ideal_norm wikiPageOutDegree "30".
- Ideal_norm wikiPageRevisionID "679967934".
- Ideal_norm wikiPageWikiLink Abuse_of_notation.
- Ideal_norm wikiPageWikiLink Algebraic_number_field.
- Ideal_norm wikiPageWikiLink Category:Algebraic_number_theory.
- Ideal_norm wikiPageWikiLink Category:Commutative_algebra.
- Ideal_norm wikiPageWikiLink Category:Ideals.
- Ideal_norm wikiPageWikiLink Commutative_algebra.
- Ideal_norm wikiPageWikiLink Completely_multiplicative_function.
- Ideal_norm wikiPageWikiLink Dedekind_domain.
- Ideal_norm wikiPageWikiLink Dedekind_zeta_function.
- Ideal_norm wikiPageWikiLink Discriminant_of_an_algebraic_number_field.
- Ideal_norm wikiPageWikiLink Field_norm.
- Ideal_norm wikiPageWikiLink Field_of_fractions.
- Ideal_norm wikiPageWikiLink Fractional_ideal.
- Ideal_norm wikiPageWikiLink Galois_extension.
- Ideal_norm wikiPageWikiLink Ideal_(ring_theory).
- Ideal_norm wikiPageWikiLink Ideal_class_group.
- Ideal_norm wikiPageWikiLink Ideal_norm.
- Ideal_norm wikiPageWikiLink Integer.
- Ideal_norm wikiPageWikiLink Integral_element.
- Ideal_norm wikiPageWikiLink Jean-Pierre_Serre.
- Ideal_norm wikiPageWikiLink Principal_ideal.
- Ideal_norm wikiPageWikiLink Quotient_ring.
- Ideal_norm wikiPageWikiLink Ring_of_integers.
- Ideal_norm wikiPageWikiLink Separable_extension.
- Ideal_norm wikiPageWikiLink Unit_(ring_theory).
- Ideal_norm wikiPageWikiLinkText "Ideal norm".
- Ideal_norm wikiPageWikiLinkText "Ideal norm#Absolute norm".
- Ideal_norm wikiPageWikiLinkText "ideal norm".
- Ideal_norm wikiPageWikiLinkText "norm".
- Ideal_norm wikiPageUsesTemplate Template:Math.
- Ideal_norm wikiPageUsesTemplate Template:Reflist.
- Ideal_norm subject Category:Algebraic_number_theory.
- Ideal_norm subject Category:Commutative_algebra.
- Ideal_norm subject Category:Ideals.
- Ideal_norm hypernym Generalization.
- Ideal_norm comment "In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension. It is particularly important in number theory since it measures the size of an ideal of a complicated number ring in terms of an ideal in a less complicated ring. When the less complicated number ring is taken to be the ring of integers, Z, then the norm of a nonzero ideal I of a number ring R is simply the size of the finite quotient ring R/I.".
- Ideal_norm label "Ideal norm".
- Ideal_norm sameAs Q5988007.
- Ideal_norm sameAs Norma_de_um_ideal.
- Ideal_norm sameAs m.02p21h_.
- Ideal_norm sameAs Q5988007.
- Ideal_norm wasDerivedFrom Ideal_norm?oldid=679967934.
- Ideal_norm isPrimaryTopicOf Ideal_norm.