Direct methods for primary decomposition *

  title={Direct methods for primary decomposition *},
  author={David Eisenbud and Craig Huneke and Wolmer V. Vasconcelos},
Let I be an ideal in a polynomial ring over a perfect field. We give new methods for comput ing the equidimensional parts and radical of I, for localizing I with respect to another ideal, and thus for finding the pr imary decomposit ion of / . Our methods rest on modern ideas from commutat ive algebra, and are direct in the sense that they avoid the generic projections used by Hermann (1926) and all others until now. Some of our methods are practical for certain classes of interesting problems… CONTINUE READING

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