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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.
2015 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 219, no 3, 591-621 p.Article in journal (Refereed) Published
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 homomorphism,large maps and the theory of infinite positively graded Liealgebras.

Place, publisher, year, edition, pages
2015. Vol. 219, no 3, 591-621 p.
Keyword [en]
Gorenstein ring, betti numbers, graded Lie algebras
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-109541DOI: 10.1016/j.jpaa.2014.05.016ISI: 000346230100016OAI: oai:DiVA.org:su-109541DiVA: diva2:765396
Projects
Matematik
Available from: 2014-11-23 Created: 2014-11-23 Last updated: 2017-12-05Bibliographically approved

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Löfwall, ClasLundqvist, SamuelRoos, Jan-Erik
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