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A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)Report (Other academic)
Abstract [en]

We prove in particular that the Gorenstein numerical semigroup ring generated by (36,48,50,52,56,60,66,67,107,121,129,135) has a transcendental series of Betti numbers. The methods of proofs are the theory of Golod homomorphisms and the theory of infinite positively graded Lie algebras.

Place, publisher, year, edition, pages
2012. , 11 p.
Keyword [en]
Gorenstein ring, Betti numbers, graded Lie algebra, Golod map
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-83252OAI: oai:DiVA.org:su-83252DiVA: diva2:574790
Available from: 2012-12-06 Created: 2012-12-06 Last updated: 2013-06-10Bibliographically approved

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http://arxiv.org/abs/1212.0720

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Löfwall, ClasLundqvist, SamuelRoos, Jan-Erik
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CiteExportLink to record
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