Krull property of generalized power series rings

Park, Mi Hee; Oh, D.Y.

doi:10.1016/j.jpaa.2022.107179

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Krull property of generalized power series rings

Park, Mi Hee;
Oh, D.Y.

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2

초록

Let D be an integral domain and let (S,≤) be a torsion-free, ≤-cancellative, subtotally ordered monoid. We show that the generalized power series ring 〚DS,≤〛 is a Krull domain if and only if D is a Krull domain and S is a Krull monoid. © 2022 Elsevier B.V.

키워드

Generalized power series ring; Krull domain; Krull monoid

제목: Krull property of generalized power series rings

저자: Park, Mi Hee; Oh, D.Y.

DOI: 10.1016/j.jpaa.2022.107179

발행일: 2023-02

유형: Article

저널명: Journal of Pure and Applied Algebra

권: 227

호: 2