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• Algebraic number field
  In [[number theory]], an '''algebraic number field''' is a principal object of study in [[algebraic number theory]]. The alge An ''algebraic number field'' ''K'' is a finite degree [[field extension]] of the [[field (mathematics)
  7 KB (1,077 words) - 17:18, 10 January 2009
• Algebraic number field/Definition
  151 bytes (22 words) - 03:01, 1 January 2009
• Algebraic number field/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Algebraic number field]]. Needs checking by a human. {{r|Discriminant of an algebraic number field}}
  843 bytes (113 words) - 10:49, 11 January 2010
• Discriminant of an algebraic number field
  ...field''' is an invariant attached to an [[field extension|extension]] of [[algebraic number field]]s which describes the geometric structure of the [[ring of integers]] and
  1 KB (235 words) - 01:20, 18 February 2009
• Discriminant of an algebraic number field/Bibliography
  1 KB (153 words) - 14:18, 16 January 2013
• Discriminant of an algebraic number field/Definition
  195 bytes (27 words) - 13:06, 23 December 2008
• Discriminant of an algebraic number field/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Discriminant of an algebraic number field]]. Needs checking by a human. {{r|Algebraic number field}}
  554 bytes (72 words) - 16:00, 11 January 2010

Page text matches

• Class field theory
  ...theory]], '''class field theory''' studies the abelian extensions of an [[algebraic number field]], or more generally a [[global field]] or [[local field]].
  191 bytes (26 words) - 17:20, 10 January 2013
• Conductor of a number field
  ...or''' or '''relative conductor''' of an [[field extension|extension]] of [[algebraic number field]]s is a [[modulus (algebraic number theory)|modulus]] which determines the
  1 KB (177 words) - 01:07, 18 February 2009
• Algebraic number field/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Algebraic number field]]. Needs checking by a human. {{r|Discriminant of an algebraic number field}}
  843 bytes (113 words) - 10:49, 11 January 2010
• Field extension/Related Articles
  {{r|Algebraic number field}} {{r|Discriminant of an algebraic number field}}
  857 bytes (112 words) - 16:32, 11 January 2010
• Modulus (algebraic number theory)/Definition
  A formal product of places of an algebraic number field, used to encode ramification data for abelian extensions of a number field.
  167 bytes (25 words) - 15:54, 5 December 2008
• Order (ring theory)
  Any [[subring]] of an [[algebraic number field]] composed of [[algebraic integer]]s forms an order: the ring of all algebr
  307 bytes (47 words) - 13:58, 1 February 2009
• Dirichlet's unit theorem
  #REDIRECT [[Algebraic number field#Unit group]]
  47 bytes (6 words) - 05:06, 1 January 2009
• Regulator of a number field
  #REDIRECT [[Algebraic number field#Unit group]]
  47 bytes (6 words) - 05:12, 1 January 2009
• Conductor of a number field/Related Articles
  {{r|Algebraic number field}}
  595 bytes (77 words) - 15:38, 11 January 2010
• Field discriminant
  #REDIRECT [[Discriminant of an algebraic number field]]
  55 bytes (7 words) - 13:09, 23 December 2008
• Field (mathematics)/Related Articles
  {{r|Algebraic number field}}
  1 KB (146 words) - 16:32, 11 January 2010
• Rational number/Related Articles
  {{r|Algebraic number field}}
  1 KB (169 words) - 19:54, 11 January 2010
• Discriminant of an algebraic number field/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Discriminant of an algebraic number field]]. Needs checking by a human. {{r|Algebraic number field}}
  554 bytes (72 words) - 16:00, 11 January 2010
• Cyclotomic field/Definition
  An algebraic number field generated over the rational numbers by roots of unity.
  116 bytes (16 words) - 13:28, 7 December 2008
• Dedekind zeta function/Related Articles
  {{r|Algebraic number field}}
  297 bytes (38 words) - 11:43, 15 June 2009
• Algebraic number/Related Articles
  {{r|Algebraic number field}}
  887 bytes (126 words) - 02:29, 22 December 2008
• Root of unity/Related Articles
  {{r|Algebraic number field}}
  592 bytes (76 words) - 20:06, 11 January 2010
• KANT
  ...ted in algebraic number theory, performing sophisticated computations in [[algebraic number field]]s, in [[Global field|global]] [[function field]]s, and in [[local field]]s
  1 KB (152 words) - 08:31, 14 September 2013
• Modulus (algebraic number theory)/Related Articles
  {{r|Algebraic number field}}
  526 bytes (68 words) - 18:36, 11 January 2010
• Monogenic field/Definition
  An algebraic number field for which the ring of integers is a polynomial ring.
  114 bytes (17 words) - 17:08, 28 October 2008