On the number of generators of ideals defining Gorenstein Artin algebras with Hilbert function (Formula Presented)

Simple item page
dc.contributor.authorSabine, El Khoury
dc.contributor.authorJayanthan, A. V.
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.issued2016
dc.description.abstractLet (Formula presented.) be a graded Gorenstein Artin algebra. (Formula presented.) for some (Formula presented.) in the divided power algebra (Formula presented.). Suppose that (Formula presented.) is a height one ideal generated by (Formula presented.) quadrics so that (Formula presented.) after a possible change of variables. Let (Formula presented.). Then (Formula presented.) and (Formula presented.) is said to be (Formula presented.) -generic if (Formula presented.). In this article we prove necessary conditions, in terms of (Formula presented.) , for an ideal to be (Formula presented.) -generic. With some extra assumptions on the exponents of terms of (Formula presented.) , we obtain a characterization for height four ideals (Formula presented.) to be (Formula presented.) -generic. © 2014, The Managing Editors.
dc.identifier.doihttps://doi.org/10.1007/s13366-014-0228-0
dc.identifier.eid2-s2.0-84957888640
dc.identifier.urihttp://hdl.handle.net/10938/26028
dc.language.isoen
dc.publisherSpringer Verlag
dc.relation.ispartofBeitrage zur Algebra und Geometrie
dc.sourceScopus
dc.subject(formula presented)-generic
dc.subjectGorenstein artin algebras
dc.subjectHilbert function
dc.titleOn the number of generators of ideals defining Gorenstein Artin algebras with Hilbert function (Formula Presented)
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2016-4801.pdf
Size:
468.5 KB
Format:
Adobe Portable Document Format
Download

Collections

Department of Mathematics