The Golod property for Stanley-Reisner rings in varying characteristic

DC FieldValueLanguage
dc.contributor.authorKatthaen, Lukas
dc.date.accessioned2021-12-23T15:57:39Z-
dc.date.available2021-12-23T15:57:39Z-
dc.date.issued2016
dc.identifier.issn00224049
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/3049-
dc.description.abstractWe show that the Golod property of a Stanley-Reisner ring can depend on the characteristic of the base field. More precisely, for every finite set T of prime numbers we construct simplicial complexes Delta and Gamma, such that K[Delta] is Golod exactly in the characteristics in T and K[Gamma] is Golod exactly in the characteristics not in T. Along the way, we show that a one-dimensional simplicial complex is Golod if and only if it is chordal. (C) 2015 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.subjectMONOMIAL RINGS
dc.subjectPOINCARE-BETTI SERIES
dc.titleThe Golod property for Stanley-Reisner rings in varying characteristic
dc.typejournal article
dc.identifier.doi10.1016/j.jpaa.2015.11.005
dc.identifier.isiISI:000369454700008
dc.description.volume220
dc.description.issue6
dc.description.startpage2265
dc.description.endpage2276
dc.identifier.eissn18731376
dc.publisher.placePO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
dcterms.isPartOf.abbreviationJ. Pure Appl. Algebr.
dcterms.oaStatusGreen Submitted
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