Singular Manual: modsatiety

| #### 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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