Abstract
In nonfactorial rings (as illustrated in Chapter 3) we have nonprincipal ideals. Our main aim is to establish the unique factorization theory for ideals in the ring of all algebraic integers in a finite field extension of rationals. This was done by Dedekind in 1871.
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© 1978 Springer-Verlag New York Inc.
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Cohn, H. (1978). Dedekind Domains. In: A Classical Invitation to Algebraic Numbers and Class Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9950-9_6
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DOI: https://doi.org/10.1007/978-1-4612-9950-9_6
Publisher Name: Springer, New York, NY
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