Singular Manual: modDec

| #### D.4.19.4 modDec Procedure from library `mprimdec.lib` (see mprimdec_lib). Usage: modDec (N[, i]); module N, int i Return: list l a minimal primary decomposition of N computed by an generalized version of the algorithm of Shimoyama/Yokoyama, if i=1 is given, the factorizing Groebner basis algorithm is used internally. Example:
    LIB "mprimdec.lib";
    ring r=0,(x,y,z),dp;
    module N=x*gen(1)+ y*gen(2),
    x*gen(1)-x2*gen(2);
    list l=modDec(N);
    l;
    ==> [1]:
    ==>    [1]:
    ==>       _[1]=x*gen(1)+y*gen(2)
    ==>       _[2]=x*gen(2)-gen(1)
    ==>    [2]:
    ==>       _[1]=x2+y
    ==> [2]:
    ==>    [1]:
    ==>       _[1]=gen(2)
    ==>       _[2]=x*gen(1)
    ==>    [2]:
    ==>       _[1]=x

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