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| About the number of generators of an ideal - II https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1398 |
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| Author: | Vinay Wagh [ Thu Aug 11, 2005 5:32 pm ] |
| Post subject: | About the number of generators of an ideal - II |
In my last mail I forgot to mention this... I am also interested in finding the quotient of two ideals. i.e. R: ring, I,J subset R be the ideals in R. Then I want to find the ideal I:J. So I want to know the algorithm/theory used to find out the generators of I:J. Thanks in advance Vinay Wagh email: vinay_wagh@yahoo.com Posted in old Singular Forum on: 2004-06-05 05:32:55+02 |
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| Author: | levandov [ Thu Aug 11, 2005 8:25 pm ] |
| Post subject: | Re: About the number of generators of an ideal - II |
Dear Vinay Wagh, Quote: > In my last mail I forgot to mention this... > > I am also interested in finding the quotient of two ideals. > i.e. > R: ring, I,J subset R be the ideals in R. Then I want to > find the ideal I:J. In SINGULAR, you can find it with the help of command "quotient", see http://www.singular.uni-kl.de/Manual/2-0-5/sing_261.htm Quote: > So I want to know the algorithm/theory used to find out the > generators of I:J. Theoretical issues could be found, for example, in the SINGULAR book, p.79-80, subsection 1.8.8. Alternatively, there is a short description of the algorithm in the paper of Hans Schoenemann "Algorithms in SINGULAR". The HTML version of the article is available at http://www.mathematik.uni-kl.de/~zca/Re ... paper.html With best regards, |
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