| Singular https://www.singular.uni-kl.de/forum/ |
|
| a problem in arithmetic dynamics https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=2512 |
Page 1 of 1 |
| Author: | timoe [ Mon Nov 30, 2015 4:38 pm ] |
| Post subject: | a problem in arithmetic dynamics |
Let I be an ideal generated by a finite number of binomials, and let I' be a larger ideal containing all polynomials p such that mp is contained in I for some monomial m. Is there an algorithm for computing I'? |
|
| Author: | hannes [ Tue Dec 01, 2015 5:06 pm ] |
| Post subject: | Re: a problem in arithmetic dynamics |
That seems to be the ideal qotient: I:<x_1,...x_n>:={f, with f*g in I and g in <x_1..x_n>} or Code: quotient(I,maxideal(1)) .For the algorithm see http://www.mathematik.uni-kl.de/~zca/Reports_on_ca/02/paper_html/node29.html |
|
| Author: | timoe [ Wed Dec 02, 2015 8:24 pm ] |
| Post subject: | Re: a problem in arithmetic dynamics |
Thank you for the answer. However, the given quotient does not in general agree with I'. For example, if I is generated by s2-s and d4e+s, then I' contains the polynomial s-1 which is not in quotient(I,maxideal(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/ |
|