4. Extension Fields

  1. David A. Cox

Published Online: 28 OCT 2011

DOI: 10.1002/9781118033081.ch4

Galois Theory

Galois Theory

How to Cite

Cox, D. A. (2004) Extension Fields, in Galois Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118033081.ch4

Publication History

  1. Published Online: 28 OCT 2011
  2. Published Print: 7 SEP 2004

ISBN Information

Print ISBN: 9780471434191

Online ISBN: 9781118033081

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Keywords:

  • extension fields;
  • minimal polynomials;
  • adjoining elements;
  • irreducible polynomials;
  • prime radicals

Summary

This chapter contains sections titled:

  • Elements of Extension Fields

  • Irreducible Polynomials

  • The Degree of an Extension

  • Algebraic Extensions