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Part of the book series: Problem Books in Mathematics ((PBM))

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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.

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© 1995 Springer Science+Business Media New York

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Lam, T.Y. (1995). Ordered Structures in Rings. In: Exercises in Classical Ring Theory. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3987-9_6

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  • DOI: https://doi.org/10.1007/978-1-4757-3987-9_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-3989-3

  • Online ISBN: 978-1-4757-3987-9

  • eBook Packages: Springer Book Archive

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