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# SPDX-License-Identifier: GPL-2.0-or-later
# GradedRingForHomalg: Endow Commutative Rings with an Abelian Grading
#
# Declarations
#
####################################
#
# global functions and operations:
#
####################################
##
DeclareAttribute( "PolynomialsWithoutRelativeIndeterminates",
IsHomalgMatrix );
# basic operations:
DeclareOperation( "DegreeOfRingElementFunction",
[ IsHomalgRing, IsList ] );
DeclareOperation( "DegreeOfRingElementFunction",
[ IsHomalgRing, IsHomalgMatrix ] );
DeclareOperation( "DegreesOfEntriesFunction",
[ IsHomalgRing, IsList ] );
DeclareOperation( "DegreesOfEntriesFunction",
[ IsHomalgRing, IsHomalgMatrix ] );
DeclareOperation( "NonTrivialDegreePerRowWithColPositionFunction",
[ IsHomalgRing, IsList, IsObject, IsObject ] );
DeclareOperation( "NonTrivialDegreePerColumnWithRowPositionFunction",
[ IsHomalgRing, IsList, IsObject, IsObject ] );
DeclareOperation( "LinearSyzygiesGeneratorsOfRows",
[ IsHomalgMatrix ] );
DeclareOperation( "LinearSyzygiesGeneratorsOfColumns",
[ IsHomalgMatrix ] );
DeclareOperation( "ExponentsOfGeneratorsOfToricIdeal",
[ IsList ] );
[Dauer der Verarbeitung: 0.33 Sekunden, vorverarbeitet 2026-06-18]
