Binomial canonical decompositions of binomial ideals

Details Binomial canonical decompositions of binomial ideals Binomial canonical decompositions of binomial ideals

2010-03-08

arxiv.org/abs/1003.1701v3

Mathematics

Commutative Algebra

13 pages, LaTeX. Example 1.5 added. Introduction improved. References removed Typos corrected

Scientific paper

In this paper, 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.

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