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Primary decomposition
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Author:  Noob [ Fri Feb 05, 2010 7:40 pm ]
Post subject:  Primary decomposition

Why do I get different primary decompositions, and different sets of minimal prime ideals, using the algorithms
primdecGTZ (minAssGTZ) and primdecSY (minAssChar).????

It actually is for a very simple homogeneous ideal;

x^2 + y^2 + z^2, u^2 + xw + yz

characteristic zero, five variables.

Thank you for your help

Author:  greuel [ Sun Feb 14, 2010 8:49 pm ]
Post subject:  Re: Primary decomposition

The ideals are the same. You get only different sets of generators, due to the different algorithms.
You can check this by either computing a Groebner basis of the ideals or by applying 'reduce'.

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