Bounds for the multiplicity of gorenstein algebras

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dc.contributor.authorEl Khoury, Sabine
dc.contributor.authorKummini, Manoj
dc.contributor.authorSrinivasan, Hema
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:34Z
dc.date.available2025-01-24T11:24:34Z
dc.date.issued2015
dc.description.abstractWe prove upper bounds for the Hilbert-Samuel multiplicity of standard graded Gorenstein algebras. The main tool that we use is Boij-Söderberg theory to obtain a decomposition of the Betti table of a Gorenstein algebra as the sum of rational multiples of symmetrized pure tables. Our bound agrees with the one in the quasi-pure case obtained by Srinivasan. © 2014 American Mathematical Society.
dc.identifier.doihttps://doi.org/10.1090/s0002-9939-2014-12275-1
dc.identifier.eid2-s2.0-84924769148
dc.identifier.urihttp://hdl.handle.net/10938/26020
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.relation.ispartofProceedings of the American Mathematical Society
dc.sourceScopus
dc.subjectGorenstein rings
dc.subjectGraded betti numbers
dc.subjectHilbert-samuel multiplicity
dc.titleBounds for the multiplicity of gorenstein algebras
dc.typeArticle

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