Singular Manual: is_active

| #### D.6.20.4 is_active Procedure from library `sing.lib` (see sing_lib). Usage: is_active(f,id); f poly, id ideal or module Return: 1 if f is an active element modulo id (i.e. dim(id)=dim(id+f*R^n)+1, if id is a submodule of R^n) resp. 0 if f is not active. The basering may be a quotient ring Note: regular parameters are active but not vice versa (id may have embedded components). proc is_reg tests whether f is a regular parameter Example:
    LIB "sing.lib";
    ring r   =32003,(x,y,z),ds;
    ideal i  = yx3+y,yz3+y3z;
    poly f   = x;
    is_active(f,i);
    ==> 1
    qring q  = std(x4y5);
    poly f   = x;
    module m = [yx3+x,yx3+y3x];
    is_active(f,m);
    ==> 0

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