On toric face rings
Autor(en): | Ichim, Bogdan Roemer, Tim |
Stichwörter: | Mathematics; Mathematics, Applied; POSETS; SHELLABLE NONPURE COMPLEXES | Erscheinungsdatum: | 2007 | Herausgeber: | ELSEVIER SCIENCE BV | Journal: | JOURNAL OF PURE AND APPLIED ALGEBRA | Volumen: | 210 | Ausgabe: | 1 | Startseite: | 249 | Seitenende: | 266 | Zusammenfassung: | Following 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. |
ISSN: | 00224049 | DOI: | 10.1016/j.jpaa.2006.09.010 |
Zur Langanzeige
Seitenaufrufe
2
Letzte Woche
0
0
Letzter Monat
0
0
geprüft am 13.05.2024