2006/02/02 by Seth Sullivant, Sullivant, Seth
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.math/0602052
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.