Ordered Structures in Rings

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


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.


Division Algebra Division Ring Laurent Series Arbitrary Ring Commutative Domain 


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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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