Ordered Structures in Rings

  • T. Y. Lam
Part of the Problem Books in Mathematics book series (PBM)

Abstract

From our first course in abstract algebra, we learned that ℝ, the set of all integers, is not only a ring, but an ordered ring, in that we have the ordering relation
$$ \cdots < - 2 < - 1 < 0 < 1 < 2 < \cdots $$
between its elements. For arbitrary rings, it is also of significance to study their orderings if they exist.

Keywords

Division Algebra Division Ring Laurent Series Arbitrary Ring Commutative Domain 
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 1995

Authors and Affiliations

  • T. Y. Lam
    • 1
  1. 1.Department of Mathematics MA-01University of CaliforniaBerkeleyUSA

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