Primes and Algebraic Number Theory

Benjamin Fine () and Gerhard Rosenberger
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Benjamin Fine: Fairfield University, Department of Mathematics
Gerhard Rosenberger: Universität Hamburg

Chapter Chapter 6 in Number Theory, 2016, pp 285-370 from Springer

Abstract: Abstract The final major area within the theory of numbers is algebraic number theory. In this chapter we present an overview of the major ideas in this discipline. In line with the theme of these notes, we will concentrate on primes and prime decompositions.

Keywords: Algebraic Number Field; Euclidean Domain; Algebraic Integers; Principal Ideal Domain; Prime Ideal (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-43875-7_6

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