Radically Perfect Prime Ideals in Polynomial Rings Over Prüfer and Pullback Rings

DOI10.1080/00927872.2011.642045zbMath1316.13037OpenAlexW2020521724MaRDI QIDQ4924087

Abdeslam Mimouni

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.642045

zbMATH Keywords

Prüfer domainPVDquasi-Prüfer domainradically perfectUMT-domainclassical pullback

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

Cohomological dimension and top local cohomology modules

Cites Work

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• Properties of uppers to zero in R[x]
• Radically perfect prime ideals in polynomial rings
• Topologically defined classes of commutative rings
• Affine curves in characteristic p are set theoretic complete intersections
• Coherentlike conditions in pullbacks
• Every algebraic set in n-space is the intersection of n hypersurfaces
• On the class group and the local class group of a pullback
• On t-invertibility II
• Efficient Generation of Prime Ideals in Polynomial Rings up to Radical
• The Number of Defining Equations of Affine Algebraic Sets
• Umt-domains and domains with prüfer integral closure
• Ont-invertibility III
• Coprime packedness and set theoretic complete intersections of ideals in polynomial rings

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