27 citations · 68 across the 17 of their papers we have counts for
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math.AC2006★ 2 cited
On canonical modules of toric face rings
Bogdan Ichim, Tim Roemer
Generalizing the concepts of Stanley-Reisner and affine monoid algebras, one can associate to a rational pointed fan the toric face ring. Assuming that this ring is Cohen-Macaulay,…
math.AC2006★ 27 cited
On toric face rings
Bogdan Ichim, Tim Roemer
Following a construction of Stanley we consider toric face rings associated to rational pointed fans. This class of rings is a common generalization of the concepts of Stanley--Rei…