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Finding binomials in polynomial ideals

Finding binomials in polynomial ideals

We describe an algorithm which finds binomials in a given ideal $$I\subset \mathbb {Q}[x_1,\dots ,x_n]$$ and in particular decides whether binomials exist in I at all. Binomials in polynomial ideals can be well hidden. For example, the lowest degree of a binomial cannot be bounded as a function of the …