On algebras associated to partially ordered sets

• Autores: Morten Brun, Tim Römer
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 103, Nº 2, 2008, págs. 169-185
• Idioma: inglés
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• Resumen

  • 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.