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Primary decomposition

Primary decomposition

Noob · Fri Feb 05, 2010 7:40 pm

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

Re: Primary decomposition

greuel · Sun Feb 14, 2010 8:49 pm

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'.