Splitting field/Related Articles

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A list of Citizendium articles, and planned articles, about Splitting field.
See also changes related to Splitting field, or pages that link to Splitting field or to this page or whose text contains "Splitting field".


Parent topics

  • Field extension [r]: A field containing a given field as a subfield. [e]
  • Galois theory [r]: Algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. [e]

Subtopics

Other related topics

  • Normal extension [r]: A field extension which contains all the roots of an irreducible polynomial if it contains one such root. [e]
  • Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]

Articles related by keyphrases (Bot populated)

  • Conductor of a number field [r]: Used in algebraic number theory; a modulus which determines the splitting of prime ideals. [e]
  • Separable extension [r]: A field extension in which all elements are separable. [e]
  • Stock split [r]: An increase in the number of outstanding shares of a company's stock, such that proportionate equity of each shareholder remains the same. [e]
  • Algebra over a field [r]: A ring containing an isomorphic copy of a given field in its centre. [e]
  • Characteristic polynomial [r]: The polynomial attached to a square matrix or endomorphism det(A-XI)=0. [e]