Abstract
The theory of orders and modules in a quadratic field k is quickly settled by specialising the general results developed in Chapter 9. We discover easily that each order γ of the field k can be generated by a single number of the form ρ = fω where ω is the number defined in Sect. 59 which together with 1 forms a basis for k and f is a certain positive integer, namely the conductor of r.
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© 1998 Springer-Verlag Berlin Heidelberg
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Hilbert, D. (1998). Orders and Modules of Quadratic Fields. In: The Theory of Algebraic Number Fields. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03545-0_20
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DOI: https://doi.org/10.1007/978-3-662-03545-0_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08306-8
Online ISBN: 978-3-662-03545-0
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