Abstract
This chapter is devoted to the connections between arithmetic in an algebraic number field K and its finite extension L/K. Such an extension is called traditionally an absolute extension if K = ℚ, and is called a relative extension if K ≠ ℚ. The same applies to other notions which will arise in the sequel, and so we shall speak about, say, a relative discriminant of an exten-sion, whereas by the absolute discriminant we shall mean the discriminant d(K), defined in Chap. 2.
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© 2004 Springer-Verlag Berlin Heidelberg
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Narkiewicz, W. (2004). Extensions. In: Elementary and Analytic Theory of Algebraic Numbers. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07001-7_4
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DOI: https://doi.org/10.1007/978-3-662-07001-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06010-6
Online ISBN: 978-3-662-07001-7
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