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Quadratic Number Fields

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Binary Quadratic Forms

Part of the book series: Algorithms and Computation in Mathematics ((AACIM,volume 20))

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Abstract

We have seen in Chapter 7 that the set of all lattices whose ring of multipliers is contained in a fixed maximal order is a monoid with respect to multiplication of lattices. In this chapter we study the algebraic structure of this monoid more closely. We also discuss the properties of the fields of fractions of quadratic orders.

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© 2007 Springer

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Buchmann, J., Vollmer, U. (2007). Quadratic Number Fields. In: Binary Quadratic Forms. Algorithms and Computation in Mathematics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46368-9_9

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