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derived ImageEmbedding as the colift along the coastriction to image #1495

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derived ImageEmbedding as the colift along the coastriction to image #1495

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2 changes: 1 addition & 1 deletion CAP/PackageInfo.g
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Original file line number Diff line number Diff line change
Expand Up @@ -10,7 +10,7 @@ SetPackageInfo( rec(

PackageName := "CAP",
Subtitle := "Categories, Algorithms, Programming",
Version := "2023.10-07",
Version := "2023.10-08",
Date := (function ( ) if IsBound( GAPInfo.SystemEnvironment.GAP_PKG_RELEASE_DATE ) then return GAPInfo.SystemEnvironment.GAP_PKG_RELEASE_DATE; else return Concatenation( ~.Version{[ 1 .. 4 ]}, "-", ~.Version{[ 6, 7 ]}, "-01" ); fi; end)( ),
License := "GPL-2.0-or-later",

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28 changes: 28 additions & 0 deletions CAP/gap/DerivedMethods.autogen.gi
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Expand Up @@ -135,6 +135,20 @@ end : CategoryFilter := IsCapCategory,
Weight := 1,
is_autogenerated_by_CompilerForCAP := true );

##
AddDerivationToCAP( CoimageProjection,
"dualizing the derivation of ImageEmbedding by ImageEmbedding as the colift along the coastriction to image",
[
[ AstrictionToCoimage, 1 ],
[ LiftAlongMonomorphism, 1 ],
],

function ( cat_1, alpha_1 )
return LiftAlongMonomorphism( cat_1, AstrictionToCoimage( cat_1, alpha_1 ), alpha_1 );
end : CategoryFilter := IsAbelianCategory,
Weight := 1,
is_autogenerated_by_CompilerForCAP := true );

##
AddDerivationToCAP( CoimageProjection,
"dualizing the derivation of ImageEmbedding by ImageEmbedding as the kernel embedding of the cokernel projection",
Expand All @@ -151,6 +165,20 @@ end : CategoryFilter := IsAbelianCategory,
Weight := 1,
is_autogenerated_by_CompilerForCAP := true );

##
AddDerivationToCAP( CoimageProjectionWithGivenCoimageObject,
"dualizing the derivation of ImageEmbeddingWithGivenImageObject by ImageEmbeddingWithGivenImageObject as the colift along the coastriction to image",
[
[ AstrictionToCoimageWithGivenCoimageObject, 1 ],
[ LiftAlongMonomorphism, 1 ],
],

function ( cat_1, alpha_1, C_1 )
return LiftAlongMonomorphism( cat_1, AstrictionToCoimageWithGivenCoimageObject( cat_1, alpha_1, C_1 ), alpha_1 );
end : CategoryFilter := IsAbelianCategory,
Weight := 1,
is_autogenerated_by_CompilerForCAP := true );

##
AddDerivationToCAP( CokernelColift,
"dualizing the derivation of KernelLift by KernelLift using LiftAlongMonomorphism and KernelEmbedding",
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30 changes: 30 additions & 0 deletions CAP/gap/DerivedMethods.gi
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Expand Up @@ -435,6 +435,36 @@ AddDerivationToCAP( UniversalMorphismIntoEqualizer,

end );

##
AddDerivationToCAP( ImageEmbedding,
"ImageEmbedding as the colift along the coastriction to image",
[ [ CoastrictionToImage, 1 ],
[ ColiftAlongEpimorphism, 1 ] ],

function( cat, mor )
local coastriction_to_image;

coastriction_to_image := CoastrictionToImage( cat, mor );

return ColiftAlongEpimorphism( cat, coastriction_to_image, mor );

end : CategoryFilter := IsAbelianCategory ); ##FIXME: PreAbelian?

##
AddDerivationToCAP( ImageEmbeddingWithGivenImageObject,
"ImageEmbeddingWithGivenImageObject as the colift along the coastriction to image",
[ [ CoastrictionToImageWithGivenImageObject, 1 ],
[ ColiftAlongEpimorphism, 1 ] ],

function( cat, mor, image_object )
local coastriction_to_image;

coastriction_to_image := CoastrictionToImageWithGivenImageObject( cat, mor, image_object );

return ColiftAlongEpimorphism( cat, coastriction_to_image, mor );

end : CategoryFilter := IsAbelianCategory ); ##FIXME: PreAbelian?

##
AddDerivationToCAP( ImageEmbedding,
"ImageEmbedding as the kernel embedding of the cokernel projection",
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