Note
Thesis (M.S.)--Florida Atlantic University, 1973.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
1973
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.
Language
Type
Form
Extent
22 p.
Subject (Topical)
Identifier
13582
Additional Information
Thesis (M.S.)--Florida Atlantic University, 1973.
Date Backup
1973
Date Text
1973
Date Issued (EDTF)
1973
Extension
FAU
FAU
admin_unit="FAU01", ingest_id="ing1508", creator="staff:fcllz", creation_date="2007-07-19 01:18:19", modified_by="staff:fcllz", modification_date="2011-01-06 13:08:58"
IID
FADT13582
Issuance
monographic
Organizations
Attributed name: Florida Atlantic University
Person Preferred Name
HELLMAN, ALLEN PAUL
Graduate College
Physical Description
22 p.
application/pdf
Title Plain
CHARACTERIZATION OF PRODUCT FORMULA FIELDS
Use and Reproduction
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Origin Information
1973
monographic
Boca Raton, Fla.
Florida Atlantic University
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
CHARACTERIZATION OF PRODUCT FORMULA FIELDS
Other Title Info
A
CHARACTERIZATION OF PRODUCT FORMULA FIELDS