ON ALGEBRAS ASSOCIATED TO PARTIALLY ORDERED SETS
Autor(en): | Brun, Morten Romer, Tim |
Stichwörter: | H-VECTORS; Mathematics; RINGS | Erscheinungsdatum: | 2008 | Herausgeber: | MATEMATISK INST | Journal: | MATHEMATICA SCANDINAVICA | Volumen: | 103 | Ausgabe: | 2 | Startseite: | 169 | Seitenende: | 185 | Zusammenfassung: | We continue the work [2] on sheaves of rings on finite posets. We present examples where the ring of global sections coincide with toric faces rings, quotients of a polynomial ring by a monomial ideal and algebras with straightening laws. We prove a rank-selection theorem which generalizes the well-known rank-selection theorem of Stanley-Reisner rings. Finally, we determine an explicit presentation of certain global rings of sections. |
ISSN: | 00255521 |
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