A note on the subadditivity of Syzygies

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dc.contributor.authorEl Khoury, Sabine
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.accessioned2025-01-24T11:24:35Z
dc.date.available2025-01-24T11:24:35Z
dc.date.issued2017
dc.description.abstractLet R = S/I be a graded algebra with ti and Ti being the minimal and maximal shifts in the minimal graded free resolution of R at degree i. We prove that tn ≤ t1 + Tn-1 for all n. As a consequence, we show that for Gorenstein algebras of codimension h, the subadditivity of maximal shifts Tn in the minimal graded free resolution holds for n ≥ h-1, i.e. we show that Tn ≤ Ta + Tn-A for n ≥ h-1. © 2017 World Scientific Publishing Company.
dc.identifier.doihttps://doi.org/10.1142/S0219498817501778
dc.identifier.eid2-s2.0-84994759311
dc.identifier.urihttp://hdl.handle.net/10938/26034
dc.language.isoen
dc.publisherWorld Scientific Publishing Co. Pte Ltd
dc.relation.ispartofJournal of Algebra and its Applications
dc.sourceScopus
dc.subjectGorenstein algebras
dc.subjectGraded resolutions
dc.titleA note on the subadditivity of Syzygies
dc.typeArticle

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