Radically perfect prime ideals in polynomial rings

DOI10.1007/s00013-009-0036-1zbMath1180.13014OpenAlexW2076320899MaRDI QIDQ1038684

Vahap Erdogdu

Publication date: 20 November 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0036-1

zbMATH Keywords

Dedekind domainNoetherian domainset-theoretic complete intersectionBézout domainradically perfect ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Plane and space curves (14H50) Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (4)

Commutative rings whose prime ideals are radically perfect ⋮ Efficient Generation of Prime Ideals in Polynomial Rings up to Radical ⋮ Radically Perfect Prime Ideals in Polynomial Rings Over Prüfer and Pullback Rings ⋮ Cohomological dimension and top local cohomology modules

Cites Work

• Unnamed Item
• Affine curves in characteristic p are set theoretic complete intersections
• Every algebraic set in n-space is the intersection of n hypersurfaces
• The Number of Defining Equations of Affine Algebraic Sets
• Coprime packedness and set theoretic complete intersections of ideals in polynomial rings

This page was built for publication: Radically perfect prime ideals in polynomial rings