| Singular https://www.singular.uni-kl.de/forum/ |
|
| ideal quotient https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=2538 |
Page 1 of 1 |
| Author: | gstic [ Thu Jun 09, 2016 12:40 pm ] |
| Post subject: | ideal quotient |
Hello, I have 3 homogeneous polynomials f, g, h and I have the ideal quotient (colon) K = I:J where I and J are ideals: I = (f, g), J=(h). I have also the homogeneous polynomial k of minimal degree from ideal quotient K. From the definition of the ideal quotient, there must be 2 polynomials f_1, g_1 and so we have: h * k = f * f_1 + g * g_1. How can I find these two polynomials f_1 and g_1 with Singular? Thanks in advance |
|
| Author: | hannes [ Fri Jun 10, 2016 11:12 am ] |
| Post subject: | Re: ideal quotient |
see http://www.singular.uni-kl.de/Manual/4-0-3/sing_334.htm Code: matrix T=lit(ideal(h*k),ideal(f,g));
// the factors are: T[1,1]; // f_1 T[1,2]; // g_1 |
|
| Page 1 of 1 | All times are UTC + 1 hour [ DST ] |
| Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group http://www.phpbb.com/ |
|