Author Type

Graduate Student

Date of Award

1973

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

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.

Extent

22 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1973.|Thesis (M.S.)--Florida Atlantic University, 1973.

Identifier

FADT13582

Format

pdf

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