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Fundamental Notions in Ring Theory

  • Gilberto Bini
  • Flaminio Flamini
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 680)

Abstract

We want to start by recalling some elementary topics in ring theory; we basically focus on local rings, since Galois rings, the “main subject” of our work, are a particular class of such rings. We will review some definitions and provide clarifying examples. This is useful for the sake of establishing a common language, fixing, once and for all, notation such as would appear in many undergraduate Algebra texts whose contents we assume the reader is familiar with.

Keywords

Prime Ideal Local Ring Maximal Ideal Commutative Ring Polynomial Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Gilberto Bini
    • 1
  • Flaminio Flamini
    • 2
  1. 1.University of MichiganUSA
  2. 2.Universita degli Studi Roma TreItaly

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