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Primary Decomposition of Powers of the Prime Ideal of a Numerical Semigroup Ring
Stockholm University, Faculty of Science, Department of Mathematics.
2019 (English)In: Acta Mathematica Vietnamica, ISSN 0251-4184, Vol. 44, no 3, p. 665-669Article in journal (Refereed) Published
Abstract [en]

Let R=k[t(n1),...t(ns)] = k[x(1),...x(s)]/P be a numerical semigroup ring and let P-(n) = (PRP)-R-n boolean AND R be the symbolic power of P and R-s(P) = circle plus(i >= 0)P((n))t(n) the symbolic Rees ring of P. It is hard to determine symbolic powers of P; there are even non-Noetherian symbolic Rees rings for 3-generated semigroups. We determine the primary decomposition of powers of P for some classes of 3-generated numerical semigroups.

Place, publisher, year, edition, pages
2019. Vol. 44, no 3, p. 665-669
Keywords [en]
Primary decomposition, Symbolic power, Numerical semigroup ring
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-158668DOI: 10.1007/s40306-018-00321-2ISI: 000478746600006OAI: oai:DiVA.org:su-158668DiVA, id: diva2:1238076
Available from: 2018-08-11 Created: 2018-08-11 Last updated: 2019-10-09Bibliographically approved

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