On toric face rings

DC ElementWertSprache
dc.contributor.authorIchim, Bogdan
dc.contributor.authorRoemer, Tim
dc.date.accessioned2021-12-23T16:13:09Z-
dc.date.available2021-12-23T16:13:09Z-
dc.date.issued2007
dc.identifier.issn00224049
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/10432-
dc.description.abstractFollowing a construction of Stanley we consider toric face rings associated to rational pointed fans. This class of rings is a common generalization of the concepts of Stanley-Reisner and affine monoid algebras. The main goal of this article is to unify parts of the theories of Stanley-Reisner and affine monoid algebras. We consider (non-pure) shellable fan's and the Cohen-Macaulay property. Moreover, we study the local cohomology, the canonical module and the Gorenstein property of a toric face ring. (c) 2006 Elsevier B.V. All rights reserved.
dc.language.isoen
dc.publisherELSEVIER SCIENCE BV
dc.relation.ispartofJOURNAL OF PURE AND APPLIED ALGEBRA
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectPOSETS
dc.subjectSHELLABLE NONPURE COMPLEXES
dc.titleOn toric face rings
dc.typejournal article
dc.identifier.doi10.1016/j.jpaa.2006.09.010
dc.identifier.isiISI:000245850500017
dc.description.volume210
dc.description.issue1
dc.description.startpage249
dc.description.endpage266
dc.contributor.orcid0000-0002-5068-4557
dc.contributor.researcheridB-8283-2011
dc.publisher.placePO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
dcterms.isPartOf.abbreviationJ. Pure Appl. Algebr.
dcterms.oaStatusBronze, Green Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidRoTi119-
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