Mathematics – Commutative Algebra
Scientific paper
2005-07-18
Math. Scand. 103, No. 2, 169-185 (2008)
Mathematics
Commutative Algebra
14 pages
Scientific paper
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.
Brun Morten
Roemer Tim
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