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Quelle HomalgRingMap.gd
Sprache: unbekannt
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# SPDX-License-Identifier: GPL-2.0-or-later
# Modules: A homalg based package for the Abelian category of finitely presented modules over computable rings
#
# Declarations
#
## Declarations of procedures for homalg ring maps.
####################################
#
# properties:
#
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####################################
#
# attributes:
#
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## <#GAPDoc Label="KernelSubobject:ringmap">
## <ManSection>
## <Attr Arg="phi" Name="KernelSubobject" Label="for ring maps"/>
## <Returns>a &homalg; submodule</Returns>
## <Description>
## The kernel ideal of the ring map <A>phi</A>.
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareAttribute( "KernelSubobject",
IsHomalgRingMap );
## <#GAPDoc Label="KernelEmb:ringmap">
## <ManSection>
## <Attr Arg="phi" Name="KernelEmb" Label="for ring maps"/>
## <Returns>a &homalg; map</Returns>
## <Description>
## The embedding of the kernel ideal <C>Kernel</C><M>(</M><A>phi</A><M>)</M> into the <C>Source</C><M>(</M><A>phi</A><M>)</M>,
## both viewed as modules over the ring <M>R := </M><C>Source</C><M>(</M><A>phi</A><M>)</M>
## (cf. <Ref Oper="Kernel" Label="for ring maps"/>).
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareAttribute( "KernelEmb",
IsHomalgRingMap );
DeclareOperation( "IdealContainedInKernelViaEliminateOverBaseRing",
[ IsHomalgRingMap ] );
## intrinsic attributes:
##
## !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
## should all be added by hand to LIMAP.intrinsic_attributes
## !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
####################################
#
# global functions and operations:
#
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[ Dauer der Verarbeitung: 0.15 Sekunden
(vorverarbeitet)
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2026-03-28
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