Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.
Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.
| Download
GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346#############################################################################
##
## Macaulay2Basic.gi RingsForHomalg package Daniel Robertz
##
## Copyright 2009 Lehrstuhl B für Mathematik, RWTH Aachen
##
## Implementations for the rings provided by Macaulay2.
##
#############################################################################
####################################
#
# global variables:
#
####################################
InstallValue( CommonHomalgTableForMacaulay2Basic,
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,
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,
)
);