Euclidean-like characterizations of Dedekind, Krull, and factorial domains

DOI10.1006/JNTH.1994.1042zbMath0816.13016OpenAlexW2038494791MaRDI QIDQ1328372

Clifford S. Queen

Publication date: 20 July 1995

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1994.1042

zbMATH Keywords

normDedekind domainprincipal ideal domainKrull domainintegral domainfactorial domain

Mathematics Subject Classification ID

Principal ideal rings (13F10) Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Euclidean rings and generalizations (13F07)

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Some characterizations of Krull domains ⋮ Factorial domains ⋮ ON ⋆-COLON-MULTIPLICATION DOMAINS

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