File: semitran.gd

package info (click to toggle)
gap 4r10p0-7
  • links: PTS
  • area: main
  • in suites: buster
  • size: 47,392 kB
  • sloc: ansic: 118,475; xml: 54,089; sh: 4,112; perl: 1,654; makefile: 274
file content (35 lines) | stat: -rw-r--r-- 1,399 bytes parent folder | download
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
31
32
33
34
35
#############################################################################
##
#W  semitran.gd           GAP library         Isabel Araújo and Robert Arthur 
##
##
#Y  Copyright (C)  1997,  Lehrstuhl D für Mathematik,  RWTH Aachen,  Germany
#Y  (C) 1998 School Math and Comp. Sci., University of St Andrews, Scotland
#Y  Copyright (C) 2002 The GAP Group
##
##  This file contains the declarations for basics of transformation semigroup 
##

DeclareSynonym("IsTransformationSemigroup", IsSemigroup and
	IsTransformationCollection);
DeclareSynonym("IsTransformationMonoid", IsMonoid and
IsTransformationCollection);

DeclareProperty("IsFullTransformationSemigroup", IsSemigroup);
InstallTrueMethod(IsSemigroup, IsFullTransformationSemigroup);

DeclareSynonym("IsFullTransformationMonoid", IsFullTransformationSemigroup);

DeclareGlobalFunction("FullTransformationSemigroup");
DeclareSynonym("FullTransformationMonoid", FullTransformationSemigroup);

DeclareAttribute("DegreeOfTransformationSemigroup", IsTransformationSemigroup);

DeclareAttribute("IsomorphismPermGroup", IsGreensHClass);
DeclareAttribute("IsomorphismTransformationSemigroup", IsSemigroup);
DeclareAttribute("IsomorphismTransformationMonoid", IsSemigroup);
DeclareOperation("HomomorphismTransformationSemigroup",
  [IsSemigroup, IsRightMagmaCongruence]);

DeclareAttribute("AntiIsomorphismTransformationSemigroup", IsSemigroup);