Abstract
The ring of integers ℤ has a natural ordering structure which behaves compatibly with the operations of addition and multiplication in ℤ. If we axiomatize the basic properties of the ordering structure on ℤ with respect to addition and multiplication, we arrive at the notion of an ordered ring. In this short chapter, we shall give an introduction to some of the basic facts concerning ordered rings.
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© 2001 Springer Science+Business Media New York
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Lam, T.Y. (2001). Ordered Structures in Rings. In: A First Course in Noncommutative Rings. Graduate Texts in Mathematics, vol 131. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8616-0_6
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DOI: https://doi.org/10.1007/978-1-4419-8616-0_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95325-0
Online ISBN: 978-1-4419-8616-0
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