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Ideals, Valuations, and Divisors in Algebraic Extensions of Infinite Degree over ℚ

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The Theory of Classical Valuations

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

Let K|ℚ be an algebraic extension of infinite degree, and let A = A K denote the ring of all algebraic integers of K. We begin with some remarks concerning prime elements and ideals.

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© 1999 Springer Science+Business Media New York

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Ribenboim, P. (1999). Ideals, Valuations, and Divisors in Algebraic Extensions of Infinite Degree over ℚ. In: The Theory of Classical Valuations. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0551-7_13

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  • DOI: https://doi.org/10.1007/978-1-4612-0551-7_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6814-7

  • Online ISBN: 978-1-4612-0551-7

  • eBook Packages: Springer Book Archive

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