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On algebras associated to partially ordered sets

Morten Brun·Tim Roemer
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Abstract

We continue the study 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.

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Morten Brun, Tim Roemer. 2005-07-18. On algebras associated to partially ordered sets. https://doi.org/10.7146/math.scand.a-15076

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