Orders and Modules of Quadratic Fields

David Hilbert

Chapter 20 in The Theory of Algebraic Number Fields, 1998, pp 155-157 from Springer

Abstract: 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.

Date: 1998
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DOI: 10.1007/978-3-662-03545-0_20

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