Toric fiber products

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2006-02-02

arxiv.org/abs/math/0602052v1

Mathematics

Commutative Algebra

19 pages

Scientific paper

We introduce and study the toric fiber product of two ideals in polynomial rings that are homogeneous with respect to the same multigrading. Under the assumption that the set of degrees of the variables form a linearly independent set, we can explicitly describe generating sets and Groebner bases for these ideals. This allows us to unify and generalize some results in algebraic statistics.

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