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On free resolutions of some semigroup rings
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 218, no 6, p. 1107-1116Article in journal (Refereed) Published
Abstract [en]

For some numerical semigroup rings of small embedding dimension, namely those of embedding dimension 3, and symmetric or pseudosymmetric of embedding dimension 4, presentations has been determined in the literature. We extend these results by giving the whole graded minimal free resolutions explicitly. Then we use these resolutions to determine some invariants of the semigroups and certain interesting relations among them. Finally, we determine semigroups of small embedding dimensions which have strongly indispensable resolutions.

Place, publisher, year, edition, pages
2014. Vol. 218, no 6, p. 1107-1116
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-153328DOI: 10.1016/j.jpaa.2013.11.007ISI: 000331428800010OAI: oai:DiVA.org:su-153328DiVA, id: diva2:1185418
Available from: 2018-02-24 Created: 2018-02-24 Last updated: 2018-03-20Bibliographically approved

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