ON CANONICAL MODULES OF TORIC FACE RINGS
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Ichim, Bogdan | |
dc.contributor.author | Roemer, Tim | |
dc.date.accessioned | 2021-12-23T16:13:47Z | - |
dc.date.available | 2021-12-23T16:13:47Z | - |
dc.date.issued | 2009 | |
dc.identifier.issn | 00277630 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/10752 | - |
dc.description.abstract | Generalizing the concepts of Stanley-Reisner and affine monoid algebras, one can associate to a rational pointed fan Sigma in R-n the Z(d)-graded toric face ring K[Sigma]. Assuming that K[Sigma] is Cohen-Macaulay, the main result of this paper is to characterize the situation when its canonical module is isomorphic to a Z(d)-graded ideal of K[Sigma]. From this, result several algebraic and combinatorial consequences axe deduced. As an application, we give a relation between the cleanness of K[Sigma] and the shellability of Sigma. | |
dc.language.iso | en | |
dc.publisher | DUKE UNIV PRESS | |
dc.relation.ispartof | NAGOYA MATHEMATICAL JOURNAL | |
dc.subject | COHEN-MACAULAY QUOTIENTS | |
dc.subject | Mathematics | |
dc.subject | POSETS | |
dc.subject | SHELLABLE NONPURE COMPLEXES | |
dc.title | ON CANONICAL MODULES OF TORIC FACE RINGS | |
dc.type | journal article | |
dc.identifier.doi | 10.1017/S0027763000009636 | |
dc.identifier.isi | ISI:000267574500003 | |
dc.description.volume | 194 | |
dc.description.startpage | 69 | |
dc.description.endpage | 90 | |
dc.contributor.orcid | 0000-0002-5068-4557 | |
dc.contributor.researcherid | B-8283-2011 | |
dc.identifier.eissn | 21526842 | |
dc.publisher.place | 905 W MAIN ST, STE 18-B, DURHAM, NC 27701 USA | |
dcterms.isPartOf.abbreviation | Nagoya Math. J. | |
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 | - |
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geprüft am 23.05.2024