ApCoCoA-1:FGLM.FGLM

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FGLM

Perform a FGLM Groebner Basis conversion using ApCoCoAServer

Syntax

FGLM(GBOld:LIST, M:MAT):LIST
FGLM(GBOld:LIST):LIST

Description

The function FGLM calls the ApCoCoAServer to perform a

FGLM Groebner Basis conversion. The Groebner Basis contained in list

GBOld will be converted into a Groebner Basis with respect to term ordering Ord(M), i.e. M must be a matrix specifying a term ordering. If the parameter M is not specified, CoCoA will assume M = Ord(). Please note that the resulting polynomials belong to a different ring than the ones in GBOld.

Example

Use Q[x, y, z], DegRevLex;
GBOld := [z^4 -3z^3 - 4yz + 2z^2 - y + 2z - 2, yz^2 + 2yz - 2z^2 + 1, y^2 - 2yz + z^2 - z, x + y - z];
M := LexMat(3);
GBNew := FGLM(GBOld, M);
Use Q[x, y, z], Ord(M);
-- New basis (Lex)
BringIn(GBNew);

See also

GBasis5, and more