how to find standard monomials of an Ideal?

asked 2013-06-07 11:17:14 +0200

Neda
45 ●4 ●8 ●18

Hello Is there any special command for contributing standard monomials of an Ideal I?

answered 2013-06-08 20:44:51 +0200

slelievre
15189 ●16 ●140 ●302 http://carva.org/samue...

Is groebner_basis the command you need?

sage: R.<x,y> = PolynomialRing(QQ, order='lex')
sage: R.ideal(x^2+y^2-1, 16*x^2*y^2-1).groebner_basis()
[x^2 + y^2 - 1, y^4 - y^2 + 1/16]

This example is from section 9.3 of the book Calcul mathématique avec Sage (in French). The link is to a page where you can download or order the book.

edit flag offensive delete link

Comments

Thank you, but I need to know is there any commands for standard monomial of an ideal i.e. for each ideal I with an special order, the monomials which not exist in <lt(i)> are standard monomials.

Neda ( 2013-06-12 04:39:28 +0200 )edit

By the way Do you know any English book with some good examples for learning and practicing sage? thank you so much

Neda ( 2013-06-12 04:43:08 +0200 )edit

add a comment

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

how to find standard monomials of an Ideal?

1 Answer

Comments

Your Answer

Question Tools

Stats

Related questions

how to find standard monomials of an Ideal? edit

1 Answer

Comments

Your Answer

Question Tools

Stats

Related questions

how to find standard monomials of an Ideal?