Year: 2006
Type: preprint
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 Groebner bases for these ideals. This allows us to unify and generalize some results in algebraic statistics.
Source: arXiv (Cornell University)
Author: Sullivant, Seth
Institution: Harvard University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952585161