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IDEAL CHAINS IN RESIDUALLY FINITE DEDEKIND DOMAINS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 99 / Issue 1 / February 2019
- Published online by Cambridge University Press:
- 28 November 2018, pp. 56-67
- Print publication:
- February 2019
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- Article
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Let
$\mathfrak{D}$ be a residually finite Dedekind domain and let 
$\mathfrak{n}$ be a nonzero ideal of 
$\mathfrak{D}$. We consider counting problems for the ideal chains in 
$\mathfrak{D}/\mathfrak{n}$. By using the Cauchy–Frobenius–Burnside lemma, we also obtain some further extensions of Menon’s identity.
