One-dimensional monoid algebras and ascending chains of principal ideals

An integral domain $R$ is called atomic if every nonzero nonunit of $R$ factors into irreducibles, while $R$ satisfies the ascending chain condition on principal ideals if every ascending chain of principal ideals of $R$ stabilizes. It is well known and not hard to verify that if an integral domain...

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Bibliographische Detailangaben

Hauptverfasser:	Bu, Alan, Gotti, Felix, Li, Bangzheng, Zhao, Alex
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Commutative Algebra
Online-Zugang:	Volltext bestellen
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