On the Non-Existence of the Euclidean Algorithm in Certain Quadratic Number Fields

DOI10.2307/2371480zbMath0024.10004OpenAlexW2322176748MaRDI QIDQ5778211

Alfred Brauer

Publication date: 1940

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2371480

zbMATH Keywords

quadratic fieldsnon-existence of the Euclidean algorithm

Mathematics Subject Classification ID

Quadratic extensions (11R11) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

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