1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
|
#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include J. D. Mitchell.
##
## 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 the implementation of some basics for partial perm
## semigroups.
DeclareSynonym("IsPartialPermSemigroup", IsSemigroup and
IsPartialPermCollection);
DeclareSynonym("IsPartialPermMonoid", IsMonoid and
IsPartialPermCollection);
DeclareAttribute("DegreeOfPartialPermSemigroup", IsPartialPermSemigroup);
DeclareAttribute("CodegreeOfPartialPermSemigroup", IsPartialPermSemigroup);
DeclareAttribute("RankOfPartialPermSemigroup", IsPartialPermSemigroup);
DeclareProperty("IsSymmetricInverseSemigroup", IsPartialPermSemigroup);
InstallTrueMethod(IsInverseSemigroup, IsSymmetricInverseSemigroup);
DeclareSynonym("IsSymmetricInverseMonoid", IsSymmetricInverseSemigroup);
DeclareOperation("SymmetricInverseSemigroup", [IsInt]);
DeclareSynonym("SymmetricInverseMonoid", SymmetricInverseSemigroup);
DeclareAttribute("IsomorphismPartialPermSemigroup", IsSemigroup);
DeclareAttribute("IsomorphismPartialPermMonoid", IsSemigroup);
|