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Topic review  It is possible to an ideal contain fractions? 
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Re: It is possible for an ideal to contain fractions? 


Quote: > Can an ideal contain fractions? No. Fractions are not elements of the ring of polynomials (but of the field of rational functions). Quote: >Moreover, what does singular with the following input: > Code: ring R=0,(x,y,z,w),dp; ideal I=x^2+yw,(x^2+z)/(1yz^2),(x^3y)/(x+y+z+w); std(I); The division is performed in the ring of polynomials giving zero as the second and the third generators of I. If you want to solve the system of equations x^2+yw = 0, x^2+z = 0, x^3y = 0, 1yz^2 <> 0, x+y+z+w <> 0, we recommend the following: Code: ring R=0,(x,y,z,w),dp; ideal I = x^2+yw,x^2+z,x^3y; ideal J = 1yz^2, x+y+z+w; facstd(I,J); See the description of facstd for details. Regards,
[quote]> Can an ideal contain fractions?[/quote] No. Fractions are not elements of the ring of polynomials (but of the field of rational functions).
[quote]>Moreover, what does singular with the following input: > [code]ring R=0,(x,y,z,w),dp; ideal I=x^2+yw,(x^2+z)/(1yz^2),(x^3y)/(x+y+z+w); std(I);[/code][/quote]
The division is performed in the ring of polynomials giving zero as the second and the third generators of I.
If you want to solve the system of equations x^2+yw = 0, x^2+z = 0, x^3y = 0, 1yz^2 <> 0, x+y+z+w <> 0, we recommend the following: [code]ring R=0,(x,y,z,w),dp; ideal I = x^2+yw,x^2+z,x^3y; ideal J = 1yz^2, x+y+z+w; facstd(I,J);[/code]
See the description of facstd for details.
Regards,




Posted: Thu Aug 11, 2005 8:55 pm 





Post subject: 
It is possible to an ideal contain fractions? 


Can an ideal contain fractions? Moreover, what does singular with the following input: ring R=0,(x,y,z,w),dp; ideal I=x^2+yw,(x^2+z)/(1yz^2),(x^3y)/(x+y+z+w); std(I); email: lmzb@uevora.ptPosted in old Singular Forum on: 20021220 18:43:57+01
Can an ideal contain fractions? Moreover, what does singular with the following input:
ring R=0,(x,y,z,w),dp; ideal I=x^2+yw,(x^2+z)/(1yz^2),(x^3y)/(x+y+z+w); std(I);
email: lmzb@uevora.pt Posted in old Singular Forum on: 20021220 18:43:57+01




Posted: Thu Aug 11, 2005 5:31 pm 





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