Singular Manual: membershipMon

| #### D.4.17.5 membershipMon Procedure from library `monomialideal.lib` (see monomialideal_lib). Usage: membershipMon(f,I); f polynomial, I ideal. Return: 1, if f lies in I; 0 otherwise. (-1 if I and f are nonzero and I is not a monomial ideal) Assume: I is a monomial ideal of the basering. Example:
    LIB "monomialideal.lib";
    ring R = 0,(w,x,y,z,t),lp;
    ideal I =  w*x, x^2, y*z*t, y^5*t;
    poly f =  3*x^2*y + 6*t^5*z*y^6 - 4*x^2 + 8*w*x^5*y^6 - 10*y^10*t^10;
    membershipMon(f,I);
    ==> 1
    poly g = 3*w^2*t^3 - 4*y^3*z*t^3 - 2*x^2*y^5*t + 4*x*y^3;
    membershipMon(g,I);
    ==> 0

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