On the Distribution of Prime Ideals within the Ideal Class Group

نویسندگان

  • Robert Gilmer
  • William Heinzer
  • William W. Smith
چکیده

For a countably generated group K and a function on K taking values that are either nonnega-tive integers or 1, we determine in Theorem 8 equivalent conditions for there to exist a Dedekind domain D with class group K such that, for each k in K, exactly (k) maximal ideals of D belong to k.

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تاریخ انتشار 1996