All Questions
Tagged with nt.number-theory prufer-domain
2 questions
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What kind of arithmetic information does the ring of integers in an infinite extension carry?
The fact that the ring of integers in a finite extension of $\Bbb Q$ is a Dedekind domain and purely algebraic properties of Dedekind domains are absolutely essential for algebraic number theory. So ...
- 804
17
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Is the ring of all cyclotomic integers a Bezout domain?
My previous question about the theorem (apparently due to Dedekind -- thanks, Arturo Magidin!) that the ring $\overline{\mathbb{Z}}$ of all algebraic integers is a Bezout domain got me thinking about ...
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