Difference between revisions of "ApCoCoA1:CharP.GBasisF2"
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Revision as of 15:25, 6 December 2010
Char2.GBasisF2
Computing a Groebner Basis of a given ideal in F_2.
Syntax
Char2.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(xy^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  GBasisrelated computations could fail to terminate or be wrong  I:=Ideal(xy^2,x^2+xy,y^3); Char2.GBasisF2(I);  WARNING: Coeffs are not in a field  GBasisrelated 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