DC Element | Wert | Sprache |
dc.contributor.author | Migliore, Juan | |
dc.contributor.author | Nagel, Uwe | |
dc.contributor.author | Roemer, Tim | |
dc.date.accessioned | 2021-12-23T16:16:06Z | - |
dc.date.available | 2021-12-23T16:16:06Z | - |
dc.date.issued | 2008 | |
dc.identifier.issn | 00029947 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/11723 | - |
dc.description.abstract | The Multiplicity conjecture of Herzog, Huneke, and Srinivasan states an upper bound for the multiplicity of any graded k-algebra as well as a lower bound for Cohen-Macaulay algebras. In this note we extend this conjecture in several directions. We discuss when these bounds are sharp, find a sharp lower bound in the case of not necessarily arithmetically Cohen-Macaulay one-dimensional schemes of 3-space, and propose an upper bound for finitely generated graded torsion modules. We establish this bound for torsion modules whose codimension is at most two. | |
dc.language.iso | en | |
dc.publisher | AMER MATHEMATICAL SOC | |
dc.relation.ispartof | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | |
dc.subject | ALGEBRAS | |
dc.subject | BETTI NUMBERS | |
dc.subject | BOUNDS | |
dc.subject | IDEALS | |
dc.subject | LIAISON | |
dc.subject | Mathematics | |
dc.title | Extensions of the multiplicity conjecture | |
dc.type | journal article | |
dc.identifier.isi | ISI:000253778800008 | |
dc.description.volume | 360 | |
dc.description.issue | 6 | |
dc.description.startpage | 2965 | |
dc.description.endpage | 2985 | |
dc.publisher.place | 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA | |
dcterms.isPartOf.abbreviation | Trans. Am. Math. Soc. | |
dcterms.oaStatus | Bronze, Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | RoTi119 | - |