Decompositions of Cellular Binomial Ideals
  Without any restrictions on the base field, we compute the hull and prove a conjecture of Eisenbud and Sturmfels giving an unmixed decomposition of a cellular binomial ideal. Over an algebraically closed field, we further obtain an explicit (but not necessarily minimal) primary decomposition of such an ideal. 
Zekiye Sahin Eser and Laura Felicia Matusevich
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