4. Extension Fields

  1. David A. Cox

Published Online: 28 MAR 2012

DOI: 10.1002/9781118218457.ch4

Galois Theory, Second Edition

Galois Theory, Second Edition

How to Cite

Cox, D. A. (2012) Extension Fields, in Galois Theory, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118218457.ch4

Publication History

  1. Published Online: 28 MAR 2012
  2. Published Print: 12 MAR 2012

ISBN Information

Print ISBN: 9781118072059

Online ISBN: 9781118218457

SEARCH

Keywords:

  • extension fields;
  • adjoining elements;
  • irreducible polynomials;
  • prime radicals;
  • algebraic extensions

Summary

This chapter contains sections titled:

  • Elements of Extension Fields

  • Irreducible Polynomials

  • The Degree of an Extension

  • Algebraic Extensions