38 lines
1.6 KiB
GDScript3
38 lines
1.6 KiB
GDScript3
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#############################################################################
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##
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#W elements.gd Elements and basic arithmetic operations [loops]
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##
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#H @(#)$Id: quasigroups.gd, v 2.0.0 2008/01/21 gap Exp $
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##
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#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
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#Y P. Vojtechovsky (University of Denver, USA)
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##
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#############################################################################
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## DIVISION
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## -------------------------------------------------------------------------
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DeclareOperation( "LeftDivision",
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[ IsQuasigroupElement, IsQuasigroupElement ] );
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DeclareOperation( "RightDivision",
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[ IsQuasigroupElement, IsQuasigroupElement ] );
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DeclareOperation( "LeftDivisionCayleyTable", [ IsQuasigroup ] );
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DeclareOperation( "RightDivisionCayleyTable", [ IsQuasigroup ] );
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#############################################################################
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## POWERS AND INVERSES
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## -------------------------------------------------------------------------
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DeclareAttribute( "One", IsLoopElement );
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DeclareAttribute( "RightInverse", IsLoopElement );
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DeclareAttribute( "LeftInverse", IsLoopElement );
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#############################################################################
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## ASSOCIATORS AND COMMUTATORS
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## -------------------------------------------------------------------------
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DeclareOperation( "Associator",
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[ IsQuasigroupElement, IsQuasigroupElement, IsQuasigroupElement ] );
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DeclareOperation( "Commutator",
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[ IsQuasigroupElement, IsQuasigroupElement ] );
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