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D.4.3.10 isCM
Procedure from library homolog.lib (see homolog_lib).
- Usage:
isCM(M); M module
- Return:
1 if M’=coker(M) is Cohen-Macaulay;
0 if this is not the case.- Assume:
basering is local.
Example:
LIB "homolog.lib"; ring R=0,(x,y,z),ds; // local ring R = Q[x,y,z]_<x,y,z> module M=xz,yz,z2; isCM(M); // test if R/<xz,yz,z2> is Cohen-Macaulay → 0 M=x2+y2,z7; // test if R/<x2+y2,z7> is Cohen-Macaulay isCM(M); → 1 |