Details:
Title  Toric fiber products  Author(s)  Seth Sullivant  Type  Article in Journal  Abstract  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 Gröbner bases for these ideals. This allows us to unify and generalize some results in algebraic statistics.  Keywords  Gröbner basis, Algebraic statistics, Hierarchical model, Phylogenetic invariants  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869306006247 
Language  English  Journal  Journal of Algebra  Volume  316  Number  2  Pages  560  577  Year  2007  Note  Computational Algebra  Edition  0  Translation 
No  Refereed 
No 
