Difference between revisions of "ApCoCoA-1:CharP.GBasisF2"
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<title>CharP.GBasisF2</title> | <title>CharP.GBasisF2</title> | ||
<short_description>Computing a Groebner Basis of a given ideal in <tt>F_2</tt>.</short_description> | <short_description>Computing a Groebner Basis of a given ideal in <tt>F_2</tt>.</short_description> | ||
Latest revision as of 09:54, 7 October 2020
| This article is about a function from ApCoCoA-1. |
CharP.GBasisF2
Computing a Groebner Basis of a given ideal in F_2.
Syntax
CharP.GBasisF2(Ideal:IDEAL):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This command computes a Groebner Basis in the field F_2 = Z/(2).
@param Ideal An Ideal in a Ring over Z, where the elements 0,1 represent the elements of the field.
@return The Groebner Basis of the given ideal.
Example
Use R::=QQ[x,y,z]; I:=Ideal(x-y^2,x^2+xy,y^3); GBasis(I); [x^2 + xy, -y^2 + x, -xy] ------------------------------- Use Z::=ZZ[x,y,z]; -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong ------------------------------- I:=Ideal(x-y^2,x^2+xy,y^3); CharP.GBasisF2(I); -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [y^2 + x, x^2, xy] -------------------------------
See also
Introduction to Groebner Basis in CoCoA
Representation of finite fields
