Primary decomposition of powers of the prime ideal of a numerical semigroup ring

DOI10.1007/s40306-018-00321-2zbMath1423.13043OpenAlexW2909363344MaRDI QIDQ2328158

Ralf Fröberg

Publication date: 9 October 2019

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-018-00321-2

zbMATH Keywords

symbolic powerprimary decompositionnumerical semigroup ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
• The primary components of and integral closures of ideals in 3-dimensional regular local rings
• Almost complete intersections are not Gorenstein rings
• Criteria for equality of ordinary and symbolic powers of primes
• Self-linked curve singularities
• A Prime Ideal in a Polynomial Ring Whose Symbolic Blow-up is Not Noetherian
• Non-Cohen-Macaulay Symbolic Blow-Ups for Space Monomial Curves and Counterexamples to Cowsik's Question

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