Krull-dimension of the power series ring over a nondiscrete valuation domain is uncountable-Reference-Cited by-同舟云学术

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Krull-dimension of the power series ring over a nondiscrete valuation domain is uncountable

Published:2013-03 Issue: Volume:378 Page:12-21
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Kang B.G.,Park M.H.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference18 articles.

1. Content formulas for polynomials and power series and complete integral closure;Anderson;J. Algebra,1996

2. Anti-Archimedean rings and power series rings;Anderson;Comm. Algebra,1998

3. GCD domains and power series rings;Anderson;Comm. Algebra,2002

4. Valuation theory of meromorphic function fields over open Riemann surfaces;Alling;Acta Math.,1965

5. Krull dimension in power series rings;Arnold;Trans. Amer. Math. Soc.,1973

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On S-valuation domains;Journal of Algebra and Its Applications;2024-02-15

2. Power series over integral domains of Krull type;Journal of Algebra and Its Applications;2022-04-29

3. A localization of a power series ring over a Prüfer domain;Journal of Pure and Applied Algebra;2021-12

4. Chains of prime ideals in power series rings;Journal of Pure and Applied Algebra;2021-11

5. Krull dimension of power series rings;Journal of Algebra;2020-11

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