On Dedekind domains whose class groups are direct sums of cyclic groups
نویسندگان
چکیده
For a given family (Gi)i∈N of finitely generated abelian groups, we construct Dedekind domain D having the following properties. Pic(D)≅⨁i∈NGi. each i∈N, there exists submonoid Si⊆D• with Pic(DSi)≅Gi. Each class Pic(D) and all Pic(DSi) contains infinitely many prime ideals.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2024
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2023.107470