Sets of Hilbert series and their applications

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dc.creatorPiontkovski, Dmitri
dc.date2005-02-08
dc.date.accessioned2026-07-07T05:16:47Z
dc.date.available2026-07-07T05:16:47Z
dc.descriptionThere are several remarks on Hilbert series of finitely presented (f. p.) associative algebras over a field and their modules. First, given an integer $D$, the set of Hilbert series of right-sided ideals with generators and relations of degrees at most $D$ in a f. p. algebra is finite. Second, every f. p. module of linear growth over noetherian or coherent algebra has periodic Hilbert function. Third, every ideal in a Koszul family of ideals (defined in math.AG/0412441) in a f. p. algebra has rational Poincare series.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0502149
dc.identifierhttp://arxiv.org/abs/math/0502149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74117
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subject16W50; 16P90
dc.titleSets of Hilbert series and their applications
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