Binomial extensions of Simplicial ideals and reduction number
Abstract
In this article, we define a class of binomial ideals associated to a simplicial complex. This class of ideals appears in the presentation of fiber cones of codimension 2 lattice ideals hm, and in the work of Barile and Morales bm2, bm3, bm4. We compute the reduction number of Binomial extensions of Simplicial ideals. This extends all the previous results in this area.
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