Winfried Bruns
,
Robert Koch
,
Tim Römer
MSC 2000
- 05E99 None of the above, but in this section
-
13D07 Homological functors on modules
Abstract
In this note we consider monoidal complexes and their associated algebras, called toric face rings. These rings generalize Stanley-Reisner rings and affine monoid algebras. We compute initial ideals of the presentation ideal of a toric face ring, and determine its graded Betti numbers. Our results generalize celebrated theorems of Hochster in combinatorial commutative algebra.
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