Abstract
A system of complex numbers is called a number field (or, more briefly, a field) if it contains more than one number and if along with the numbers α and β it always contains α + β, α − β,αβ, and, if β ≠ 0, α/β.
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© 1981 Springer Science+Business Media New York
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Hecke, E. (1981). Algebra of Number Fields. In: Lectures on the Theory of Algebraic Numbers. Graduate Texts in Mathematics, vol 77. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4092-9_4
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DOI: https://doi.org/10.1007/978-1-4757-4092-9_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2814-6
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