Splitting multiplicative sets in Dedekind domains
Bull. Korean Math. Soc. 2001 Vol. 38, No. 2, 389-398
David F. Anderson and Jeanam Park
The University of Tennessee, Inha University
Abstract : Let $D$ be a Dedekind domain with divisor class group $\Cal Cl(D)$. We show that there is a correspondence between the set of splitting multiplicative subsets in $D$ and certain subgroups of $\Cal Cl(D)$.
Keywords : Dedekind domain, divisor class group, elasticity
MSC numbers : 13G05
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