On a property of the division algorithm and its application to the theory of non-unique factorizations

DOI10.4171/EM/128zbMath1197.11001OpenAlexW2012810110WikidataQ114021515 ScholiaQ114021515MaRDI QIDQ1045951

David F. Anderson, William W. Smith, Scott Thomas Chapman

Publication date: 18 December 2009

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0013-6018&vol=64&iss=4&rank=3

zbMATH Keywords

Euclidean algorithm

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

• On Diophantine monoids and their class groups.
• Rational Elasticity of Factorizations in Krull Domains
• On the Elasticities of Krull Domains with Finite Cyclic Divisor Class Group
• Computing the elasticity of a Krull monoid
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