Quotient Rings and Field Extensions

  • David R. Finston
  • Patrick J. Morandi
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)


In this chapter we describe a method for producing new rings from a given one. Of particular interest for applications is the case of a field extension of a given field.

Supplementary material (30 kb)
Section-5.1-Exercise-4 (MW 30 KB) (31 kb)
Section-5.1-Exercise-11 (MW 31 KB)


  1. 1.
    Herstein I (1975) Topics in algebra, 2nd edn. Wiley, HobokenzbMATHGoogle Scholar
  2. 2.
    van der Waerden BL (1971) Modern algebra. Springer, BerlinGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • David R. Finston
    • 1
    • 2
  • Patrick J. Morandi
    • 3
  1. 1.Department of MathematicsBrooklyn College of the City University of New YorkBrooklynUSA
  2. 2.CUNY Graduate CenterNew YorkUSA
  3. 3.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

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