Rings, Modules and Homomorphisms

  • Frank W. Anderson
  • Kent R. Fuller
Part of the Graduate Texts in Mathematics book series (GTM, volume 13)


The subject of our study is ring theory. In this chapter we introduce the fundamental tools of this study. Section 1 reviews the basic facts about rings, subrings, ideals, and ring homomorphisms. It also introduces some of the notation and the examples that will be needed later.


Abelian Group Integral Domain Scalar Multiplication Left Ideal Division Ring 
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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Frank W. Anderson
    • 1
  • Kent R. Fuller
    • 2
  1. 1.Department of MathematicsUniversity of OregonEugeneUSA
  2. 2.Department of MathematicsUniversity of IowaIowa CityUSA

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