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FACTORIZATION IN PRÜFER DOMAINS

Part of: Arithmetic rings and other special rings General commutative ring theory

Published online by Cambridge University Press:  30 October 2017

JIM COYKENDALL  and
RICHARD ERWIN HASENAUER
JIM COYKENDALL
Affiliation:
Clemson University, Clemson, SC 29634, USA e-mail: jcoyken@clemson.edu
RICHARD ERWIN HASENAUER
Affiliation:
Northeastern State University, Tahlequah, OK 74464, USA e-mail: hasenaue@nsuok.edu
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Abstract

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We construct a norm on the nonzero elements of a Prüfer domain and extend this concept to the set of ideals of a Prüfer domain. These norms are used to study factorization properties Prüfer of domains.

MSC classification

Primary: 13A50: Actions of groups on commutative rings; invariant theory
Secondary: 13F15: Rings defined by factorization properties (e.g., atomic, factorial, half-factorial)
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 60 , Issue 2 , May 2018 , pp. 401 - 409
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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