Ratliff–Rush Closure of Ideals in Pullbacks and Polynomial Rings

DOI10.1080/00927870802502696zbMath1184.13011OpenAlexW2013026720MaRDI QIDQ3644343

Abdeslam Mimouni

Publication date: 4 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802502696

zbMATH Keywords

Ratliff-Rush closurepullback Prüfer domain

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

Ten Problems on Stability of Domains ⋮ On the reduction numbers of monomial ideals ⋮ A note on the ascending chain condition of ideals

Cites Work

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• Conducive integral domains
• Topologically defined classes of commutative rings
• Ratliff-Rush closures and coefficient modules
• Coherentlike conditions in pullbacks
• On a class of rings that generalize Dedekind rings
• On the class group and the local class group of a pullback
• The ratliff-rush ideals in a noetherian ring
• Pairs of Rings with the Same Prime Ideals

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