Abstract
In this article, we prove that every binomial ideal in a polynomial ring over an algebraically closed field of characteristic zero admits a canonical primary decomposition into binomial ideals. Moreover, we prove that this special decomposition is obtained from a cellular decomposition which is also defined in a canonical way and does not depend on the field.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
This research is partially supported by National Plan I +D +I (project MTM2007-64704), by Junta de Extremadura and FEDER funds
Notes
Communicated by I. Swanson.