Morten Brun
,
Tim Römer
MSC 2000
- 06A11 Algebraic aspects of posets
-
13C14 Cohen-Macaulay modules
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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