osnaDocs: Homological and combinatorial properties of toric face rings

Homological and combinatorial properties of toric face rings

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2012082110274

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DC Element	Wert	Sprache
dc.contributor.advisor	Prof. Dr. Tim Römer
dc.creator	Nguyen, Dang Hop
dc.date.accessioned	2012-08-21T13:53:28Z
dc.date.available	2012-08-21T13:53:28Z
dc.date.issued	2012-08-21T13:53:28Z
dc.identifier.uri	https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2012082110274	-
dc.description.abstract	Toric face rings are a generalization of Stanley-Reisner rings and affine monoid rings. New problems and results are obtained by a systematic study of toric face rings, shedding new lights to the understanding of Stanley-Reisner rings and affine monoid rings. We study algebra retracts of Stanley-Reisner rings, in particular, classify all the $\mathbb{Z}$-graded algebra retracts. We consider the Koszul property of toric face rings via Betti numbers and properties of the defining ideal. The last chapter is devoted to local cohomology of seminormal toric face rings and applications to singularities of toric face rings in positive characteristics.	eng
dc.subject	Toric face rings	eng
dc.subject	Stanley-Reisner rings	eng
dc.subject	Koszul property	eng
dc.subject	Algebra retracts	eng
dc.subject	Seminormal rings	eng
dc.subject	Local cohomology	eng
dc.subject.ddc	510 - Mathematik
dc.title	Homological and combinatorial properties of toric face rings	eng
dc.title.alternative	Homologische und kombinatorische Eigenschaften torischer Seitenringe	ger
dc.type	Dissertation oder Habilitation [doctoralThesis]	-
thesis.location	Osnabrück	-
thesis.institution	Universität	-
thesis.type	Dissertation [thesis.doctoral]	-
thesis.date	2012-07-27	-
dc.contributor.referee	Prof. Dr. Aldo Conca
vCard.ORG	FB6
Enthalten in den Sammlungen:	FB06 - E-Dissertationen

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