Back to Forum | View unanswered posts | View active topics





Post a reply
Username:
Note:If not registered, provide any username. For more comfort, register here.
Subject:
Message body:
Enter your message here, it may contain no more than 60000 characters. 

Smilies
:D :) :( :o :shock: :? 8) :lol: :x :P :oops: :cry: :evil: :twisted: :roll: :wink: :!: :?: :idea: :arrow: :| :mrgreen:
Font size:
Font colour
Options:
BBCode is ON
[img] is ON
[flash] is OFF
[url] is ON
Smilies are ON
Disable BBCode
Disable smilies
Do not automatically parse URLs
Confirmation of post
To prevent automated posts the board requires you to enter a confirmation code. The code is displayed in the image you should see below. If you are visually impaired or cannot otherwise read this code please contact the %sBoard Administrator%s.
Confirmation code:
Enter the code exactly as it appears. All letters are case insensitive, there is no zero.
   

Topic review - Basis of Quotient Ring
Author Message
levandov
  Post subject:  Re: Basis of Quotient Ring  Reply with quote
Quote:
> Let S be the polynomial ring of n- variables, J be a homogenous ideal generated by homogenous elements f_1,..,f_m.

>Consider the quotient ring S/J of S modulo J. Can one find a basis of the graded piece of (S/J)_i of given degree i by exploiting commands of SINGULAR? If so, what are the appropriate SINGULAR commands?


There are two commands you can use: kbase and jet.
We recommend to use kbase with the second argument, for example
Code:
ring r=32003,(x,y,z),ds;
ideal i=x2,y3,xyz;
kbase(std(i),2);
==> _[1]=z2
==> _[2]=yz
==> _[3]=xz
==> _[4]=y2
==> _[5]=xy


More information you can find in the documentation.

kbase: http://www.singular.uni-kl.de/Manual/3-0-0/sing_218.htm

jet: http://www.singular.uni-kl.de/Manual/3-0-0/sing_217.htm

Have fun,
Post Posted: Thu Aug 11, 2005 8:51 pm
Sheng Mao
  Post subject:  Basis of Quotient Ring  Reply with quote
Let S be the polynomial ring of n- variables, J be a homogenous ideal generated by homogenous elements f_1,..,f_m. Consider the quotient ring S/J of S modulo J. Can one find a basis of the graded piece of (S/J)_i of given degree i by exploiting commands of SINGULAR? If so, what are the appropriate SINGULAR commands?

email: [email protected]
Posted in old Singular Forum on: 2004-01-05 13:14:24+01
Post Posted: Thu Aug 11, 2005 5:32 pm


It is currently Fri May 13, 2022 10:57 am
cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group