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D.4.15.2 minbaseMon
Procedure from library monomialideal.lib (see monomialideal_lib).
- Usage:
- minbaseMon (I); I ideal.
- Return:
- an ideal, the minimal monomial generators of I.
(-1 if the generators of I are not monomials)
- Assume:
- I is an ideal generated by a list of monomials of the basering.
Example:
| | LIB "monomialideal.lib";
ring R = 0,(w,x,y,z,t),lp;
ideal I = w^3*x*y, w^2*x^2*y^2*z^2, y^3*z,x^4*z^4*t^4, w*x*y*z*t,w*x^6*y^5*z^4, x^2*z^4*t^3 , w^6*y^4*z^2,x^2*y^2*z^2;
minbaseMon(I);
==> _[1]=w3xy
==> _[2]=y3z
==> _[3]=wxyzt
==> _[4]=x2z4t3
==> _[5]=x2y2z2
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