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I am experiencing wrong results using the PolynomialIdeals package in Maple 16 (see Creating the same ideal with different generators, the radicals computed differ which of course is wrong:

J := <t*(a+A), A*(b+B+t), b*(a+A), B*a-A*(b+t), (variables = {A, B, a, b, t})>:
J2 := <t*(a+A), A*(b+B+t), b*(a+A), B*(a+A...

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