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D.4.14.5 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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