GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
## MAGMABasic.gi RingsForHomalg package Markus Kirschmer
##
## Copyright 2008 Lehrstuhl B für Mathematik, RWTH Aachen
##
## Implementations for the rings provided by MAGMA.
##
#############################################################################
####################################
#
# global variables:
#
####################################
InstallValue( CommonHomalgTableForMAGMABasic,
rec(
## Must only then be provided by the RingPackage in case the default
## "service" function does not match the Ring
BasisOfRowModule :=
function( M )
local N;
N := HomalgVoidMatrix( "unknown_number_of_rows", NrColumns( M ), HomalgRing( M ) );
homalgSendBlocking( [ N, " := BasisOfRowModule(", M, ")" ], "need_command", HOMALG_IO.Pictograms.BasisOfModule );
return N;
end,
BasisOfColumnModule :=
function( M )
local N;
N := HomalgVoidMatrix( NrRows( M ), "unknown_number_of_columns", HomalgRing( M ) );
homalgSendBlocking( [ N, " := BasisOfColumnModule(", M, ")" ], "need_command", HOMALG_IO.Pictograms.BasisOfModule );
return N;
end,
X_PartiallyReducedBasisOfRowModule :=
function( M )
local N;
N := HomalgVoidMatrix( "unknown_number_of_rows", NrColumns( M ), HomalgRing( M ) );
homalgSendBlocking( [ N, " := PartiallyReducedBasisOfRowModule(", M, ")" ], "need_command", HOMALG_IO.Pictograms.ReducedBasisOfModule );
return N;
end,
X_PartiallyReducedBasisOfColumnModule :=
function( M )
local N;
N := HomalgVoidMatrix( NrRows( M ), "unknown_number_of_columns", HomalgRing( M ) );
homalgSendBlocking( [ N, " := PartiallyReducedBasisOfColumnModule(", M, ")" ], "need_command", HOMALG_IO.Pictograms.ReducedBasisOfModule );
return N;
end,
BasisOfRowsCoeff :=
function( M, T )
local N;
N := HomalgVoidMatrix( "unknown_number_of_rows", NrColumns( M ), HomalgRing( M ) );
homalgSendBlocking( [ N, T, " := BasisOfRowsCoeff(", M, ")" ], "need_command", HOMALG_IO.Pictograms.BasisCoeff );
return N;
end,
BasisOfColumnsCoeff :=
function( M, T )
local N;
N := HomalgVoidMatrix( NrRows( M ), "unknown_number_of_columns", HomalgRing( M ) );
homalgSendBlocking( [ N, T, " := BasisOfColumnsCoeff(", M, ")" ], "need_command", HOMALG_IO.Pictograms.BasisCoeff );
return N;
end,
DecideZeroRows :=
function( A, B )
local N;
N := HomalgVoidMatrix( NrRows( A ), NrColumns( A ), HomalgRing( A ) );
homalgSendBlocking( [ N, " := DecideZeroRows(", A, B, ")" ], "need_command", HOMALG_IO.Pictograms.DecideZero );
return N;
end,
DecideZeroColumns :=
function( A, B )
local N;
N := HomalgVoidMatrix( NrRows( A ), NrColumns( A ), HomalgRing( A ) );
homalgSendBlocking( [ N, " := DecideZeroColumns(", A, B, ")" ], "need_command", HOMALG_IO.Pictograms.DecideZero );
return N;
end,
DecideZeroRowsEffectively :=
function( A, B, T )
local N;
N := HomalgVoidMatrix( NrRows( A ), NrColumns( A ), HomalgRing( A ) );
homalgSendBlocking( [ N, T, " := DecideZeroRowsEffectively(", A, B, ")" ], "need_command", HOMALG_IO.Pictograms.DecideZeroEffectively );
return N;
end,
DecideZeroColumnsEffectively :=
function( A, B, T )
local N;
N := HomalgVoidMatrix( NrRows( A ), NrColumns( A ), HomalgRing( A ) );
homalgSendBlocking( [ N, T, " := DecideZeroColumnsEffectively(", A, B, ")" ], "need_command", HOMALG_IO.Pictograms.DecideZeroEffectively );
return N;
end,
SyzygiesGeneratorsOfRows :=
function( M )
local N;
N := HomalgVoidMatrix( "unknown_number_of_rows", NrRows( M ), HomalgRing( M ) );
homalgSendBlocking( [ N, " := SyzygiesGeneratorsOfRows(", M, ")" ], "need_command", HOMALG_IO.Pictograms.SyzygiesGenerators );
return N;
end,
SyzygiesGeneratorsOfColumns :=
function( M )
local N;
N := HomalgVoidMatrix( NrColumns( M ), "unknown_number_of_columns", HomalgRing( M ) );
homalgSendBlocking( [ N, " := SyzygiesGeneratorsOfColumns(", M, ")" ], "need_command", HOMALG_IO.Pictograms.SyzygiesGenerators );
return N;
end,
RelativeSyzygiesGeneratorsOfRows :=
function( M, M2 )
local N;
N := HomalgVoidMatrix( "unknown_number_of_rows", NrRows( M ), HomalgRing( M ) );
homalgSendBlocking( [ N, " := RelativeSyzygiesGeneratorsOfRows(", M, M2, ")" ], "need_command", HOMALG_IO.Pictograms.SyzygiesGenerators );
return N;
end,
RelativeSyzygiesGeneratorsOfColumns :=
function( M, M2 )
local N;
N := HomalgVoidMatrix( NrColumns( M ), "unknown_number_of_columns", HomalgRing( M ) );
homalgSendBlocking( [ N, " := RelativeSyzygiesGeneratorsOfColumns(", M, M2, ")" ], "need_command", HOMALG_IO.Pictograms.SyzygiesGenerators );
return N;
end,
)
);