On the prime ideal structure of symbolic Rees algebras

DOI10.1216/JCA-2012-4-3-327zbMath1260.13019arXiv0903.0052OpenAlexW2963739041MaRDI QIDQ1941829

Salah-Eddine Kabbaj, Samir Bouchiba

Publication date: 22 March 2013

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0052

zbMATH Keywords

associated graded ringKrull dimensionKrull domainJaffard domainfactorial domainsymbolic Rees algebravaluative dimensionfourteenth problem of Hilbertsubalgebra of an affine domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Rings of fractions and localization for commutative rings (13B30)

Cites Work

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