ON CANONICAL MODULES OF TORIC FACE RINGS
Autor(en): | Ichim, Bogdan Roemer, Tim |
Stichwörter: | COHEN-MACAULAY QUOTIENTS; Mathematics; POSETS; SHELLABLE NONPURE COMPLEXES | Erscheinungsdatum: | 2009 | Herausgeber: | DUKE UNIV PRESS | Enthalten in: | NAGOYA MATHEMATICAL JOURNAL | Band: | 194 | Startseite: | 69 | Seitenende: | 90 | Zusammenfassung: | 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. |
ISSN: | 00277630 | DOI: | 10.1017/S0027763000009636 |
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