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arXiv · 1003.1701

Binomial canonical decompositions of binomial ideals

Ignacio Ojeda
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Abstract

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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Ignacio Ojeda. 2010-05-07. Binomial canonical decompositions of binomial ideals. https://arxiv.org/abs/1003.1701

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