Intersections of powers of a principal ideal and primality.

DOI10.1016/J.JPAA.2003.10.003zbMath1036.13005OpenAlexW1990358591MaRDI QIDQ1428110

Paolo Zanardo

Publication date: 14 March 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.003

zbMATH Keywords

valuation domainintegral domainprimality of powers of a principal ideal

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30)

Cites Work

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• Equivalent forms of Hensel's lemma
• The Krull intersection theorem. II
• Divided rings and going-down
• Overrings and divisorial ideals of rings of the form \(D+M\)
• On divided commutative rings
• Some Counterexamples Related to Integral Closure in x

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