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#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Andrew Solomon.
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
## This file contains generic methods for magma homomorphisms
##
#############################################################################
##
#F MagmaHomomorphismByFunctionNC( <G>, <H>, <fn> )
##
## Creates the homomorphism from G to H without checking
## that <fn> is a homomorphism.
##
InstallGlobalFunction( MagmaHomomorphismByFunctionNC,
function( G, H, imgfn )
local hom;
if not (IsMagma(G) and IsMagma(H) and IsFunction(imgfn)) then
Error("Usage: MagmaHomomorphismByFunctionNC(<Magma>,<Magma>,<fn>)");
fi;
hom := MappingByFunction(G, H, imgfn);
SetIsMagmaHomomorphism(hom, true);
return hom;
end );
#############################################################################
##
#F MagmaIsomorphismByFunctionsNC( <G>, <H>, <fn>, <inv> )
##
## Creates the isomorphism from G to H without checking
## that <fn> or <inv> are a homomorphisms or bijective or inverse.
##
InstallGlobalFunction( MagmaIsomorphismByFunctionsNC,
function( G, H, imgfn, preimgfn )
local hom;
if not (IsMagma(G) and IsMagma(H) and IsFunction(imgfn)
and IsFunction(preimgfn)) then
Error("Usage: MagmaIsomorphismByFunctionsNC(<Magma>,<Magma>,<fn>,<inv>)");
fi;
hom := MappingByFunction(G, H, imgfn,preimgfn);
SetIsMagmaHomomorphism(hom, true);
return hom;
end );
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