Computational aspects of commutative algebra

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ISBN: 0125895909, 9780125895903

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Lorenzo Robbiano0125895909, 9780125895903

We give a self-contained exposition of Mayr & Meyer’s example of a polynomial ideal exhibiting double exponential degrees for the ideal membership problem, and generalise this example to exhibit minimal syzygies of double exponential degree. This demonstrates the existence of subschemes of projective space of double exponential regularity.

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