Field Extensions

  • Juliusz Brzeziński
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


In this chapter, we recall some general notations and properties of fields (incl. the notion of characteristic) which are important to Galois theory but are not always sufficiently stressed in introductory courses on basic algebraic structures. Importantly, there are different notations for fields, which we fix in this chapter for the remainder of the book.

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Juliusz Brzeziński
    • 1
    • 2
  1. 1.Department of Mathematical SciencesUniversity of GothenburgGöteborgSweden
  2. 2.Chalmers University of TechnologyGöteborgSweden

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