Betti numbers of Z(n)-graded modules
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Brun, M | |
dc.contributor.author | Romer, T | |
dc.date.accessioned | 2021-12-23T16:00:14Z | - |
dc.date.available | 2021-12-23T16:00:14Z | - |
dc.date.issued | 2004 | |
dc.identifier.issn | 00927872 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/4296 | - |
dc.description.abstract | Let S = K[X-1,..., X-n] be the polynomial ring over a field K. For bounded below Z(n)-graded S-modules M and N we show that if Tor(p)(s) (M, N) not equal 0, then for 0 less than or equal to i less than or equal to p, the dimension of the K-vector space Tor(i)(s) (M, N) is at least ((p)(i)). In particular, we get lower bounds for the total Betti numbers of such modules. These results are related to a conjecture of Buchsbaum and Eisenbud. | |
dc.language.iso | en | |
dc.publisher | MARCEL DEKKER INC | |
dc.relation.ispartof | COMMUNICATIONS IN ALGEBRA | |
dc.subject | Betti numbers | |
dc.subject | BOUNDS | |
dc.subject | COHOMOLOGY | |
dc.subject | FREE RESOLUTIONS | |
dc.subject | koszul homology | |
dc.subject | lower bounds | |
dc.subject | Mathematics | |
dc.title | Betti numbers of Z(n)-graded modules | |
dc.type | journal article | |
dc.identifier.doi | 10.1081/AGB-200036803 | |
dc.identifier.isi | ISI:000225552600006 | |
dc.description.volume | 32 | |
dc.description.issue | 12 | |
dc.description.startpage | 4589 | |
dc.description.endpage | 4599 | |
dc.publisher.place | 270 MADISON AVE, NEW YORK, NY 10016 USA | |
dcterms.isPartOf.abbreviation | Commun. Algebr. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | RoTi119 | - |
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geprüft am 23.05.2024