Model
Digital Document
Publisher
Florida Atlantic University
Description
In this thesis we present a characterization of fields
which admit a product formula. We prove that a field
which admits a product formula consisting of admissible
prime spots is a global field. This result was originally
proved by Artin and Whaples in 1945. By limiting the
admissible prime spots to those that are archimedean or
discrete with finite residue class field, we are able to
obtain a more elementary proof than that given by Artin
and Whaples. The proof given here is, to our knowledge,
The render should notice that Artin and Whaples
obtain, as a part of their result, that only the two types
of prime spots mentioned above can occur in a product formula.
which admit a product formula. We prove that a field
which admits a product formula consisting of admissible
prime spots is a global field. This result was originally
proved by Artin and Whaples in 1945. By limiting the
admissible prime spots to those that are archimedean or
discrete with finite residue class field, we are able to
obtain a more elementary proof than that given by Artin
and Whaples. The proof given here is, to our knowledge,
The render should notice that Artin and Whaples
obtain, as a part of their result, that only the two types
of prime spots mentioned above can occur in a product formula.
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