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On differential operators of numerical semigroup rings
Stockholm University, Faculty of Science, Department of Mathematics.
2013 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 217, no 2, 230-237 p.Article in journal (Refereed) Published
Abstract [en]

If S = < d(1),...,d(nu)> is a numerical semigroup, we call the ring C[S] = C[t(d1),...,t(d nu)] the semigroup ring of S. We study the ring of differential operators on C[S] , and its associated graded in the filtration induced by the order of the differential operators. We find that these are easy to describe if S is a so-called Art semigroup. If I is an ideal in C[S] that is generated by monomials, we also give some results on Der(I, I) (the set of derivations which map I into I).

Place, publisher, year, edition, pages
2013. Vol. 217, no 2, 230-237 p.
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URN: urn:nbn:se:su:diva-83828DOI: 10.1016/j.jpaa.2012.06.009ISI: 000310047000004OAI: diva2:577084


Available from: 2012-12-14 Created: 2012-12-14 Last updated: 2012-12-14Bibliographically approved

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Fröberg, Ralf
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