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Poincare series of some hypergraph algebras
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
Department of mathematics, Amirkabir university, Tehran, Iran.
Department of mathematics, Amirkabir university, Tehran, Iran.
2013 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 112, 5-10 p.Article in journal (Refereed) Published
Abstract [en]

A hypergraph H = (V, E), where V = {x(1),...,x(n)} and E subset of 2(V) defines a hypergraph algebra R-H = k[x(1),...,x(n)]/(x(i1)...x(ik); {i(1),...,i(k)} is an element of E). All our hypergraphs are d-uniform, i.e., vertical bar e(i)vertical bar = d for all e(i) is an element of E. We determine the Poincare series P-RH (t) = Sigma(infinity)(i=1) dim(k) Tor(i)(RH) (k, k)(t)(i) for some hypergraphs generalizing lines, cycles, and stars. We finish by calculating the graded Betti numbers and the Poincare series of the graph algebra of the wheel graph.

Place, publisher, year, edition, pages
Köpenhamn, 2013. Vol. 112, 5-10 p.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-91128ISI: 000319844000001OAI: oai:DiVA.org:su-91128DiVA: diva2:630947
Note

AuthorCount: 4;

Available from: 2013-06-19 Created: 2013-06-19 Last updated: 2017-12-06Bibliographically approved

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