Abstract
In this chapter we shall construct the field of rationale from the ring of integers. Our argument will use only properties (1) to (9) of the integers (Part II, Chapter 3), and hence the same argument will produce a field from any integral domain.
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© 1995 Springer Science+Business Media New York
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Anglin, W.S., Lambek, J. (1995). The Rationals. In: The Heritage of Thales. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0803-7_36
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DOI: https://doi.org/10.1007/978-1-4612-0803-7_36
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6906-9
Online ISBN: 978-1-4612-0803-7
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