How can I localize a module at a prime ideal?
wienand ยท Thu Aug 03, 2006 7:41 pm
HOW CAN I LOCALIZE A MODULE AT A PRIME IDEAL?
PLEASE GUIDE ME
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Dear Hamid Hassanzadeh,
If you want to compute in the localization of K[x_1,...,x_n] with respect
to the maximal ideal P=<x_1,...,x_n> you simply use a local ordering
as in the following example:
The general case of any prime ideal is reduced to this case. How to do it
is described in the book
at page 223, exercise 3.5.5
Yours
Gerhard Pfister
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This question was adressed to the Singular Team via email. For your convenience we decided to make the answer available to the public.
Oliver Wienand
Singular Team
PLEASE GUIDE ME
-------------------------------------------------------
Dear Hamid Hassanzadeh,
If you want to compute in the localization of K[x_1,...,x_n] with respect
to the maximal ideal P=<x_1,...,x_n> you simply use a local ordering
as in the following example:
Code:
ring R=0,(x(1..n)),ds;
The general case of any prime ideal is reduced to this case. How to do it
is described in the book
Quote:
A Singular Introduction to Commutative Algebra, Springer 2002
at page 223, exercise 3.5.5
Yours
Gerhard Pfister
-----
This question was adressed to the Singular Team via email. For your convenience we decided to make the answer available to the public.
Oliver Wienand
Singular Team