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D.4.17.6 modsatiety
Procedure from library noether.lib (see noether_lib).
- Usage:
- modsatiety(i); i ideal,
- Return:
- an integer, the satiety of i.
(returns -1 if i is not homogeneous)
- Assume:
- i is a homogeneous ideal of the basering R=K[x(0)..x(n)].
- Theory:
- The satiety, or saturation index, of a homogeneous ideal i is the
least integer s such that, for all d>=s, the degree d part of the
ideals i and isat=sat(i,maxideal(1))[1] coincide.
- Note:
- This is a probabilistic procedure, and it computes the initial of the ideal modulo the prime number 2147483647 (the biggest prime less than 2^31).
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