[GAP Forum] ring theory
Igor Korepanov
paloff at ya.ru
Sat Jan 22 08:56:28 GMT 2011
Still something more: one person told me to write what sort of GAP I am using. Here it is:
gap> GAPInfo;
rec( Version := "4.4.12", Date := "17-Dec-2008", KernelVersion := "4.4.12",
NeedKernelVersion := [ "4.4.12" ],
Architecture := "x86_64-pc-linux-gnu-x86_64-pc-linux-gnu-gcc",
SystemCommandLine := [ "/usr/libexec/gap/gap", "-m", "32m", "-l",
"/usr/share/gap" ],
SystemEnvironment := [ "ORBIT_SOCKETDIR=/tmp/orbit-bossik",
"MANPATH=/usr/local/share/man:/usr/share/man:/usr/share/binutils-data/x8\
6_64-pc-linux-gnu/2.20.1/man:/usr/share/gcc-data/x86_64-pc-linux-gnu/4.4.4/man\
", "SSH_AGENT_PID=4415", "XDG_MENU_PREFIX=gnome-", "SHELL=/bin/bash",
"TERM=xterm",
"XDG_SESSION_COOKIE=9c93b742cf5601828c1b7a0500001e6c-1295672826.341814-6\
60312593", "GTK_RC_FILES=/etc/gtk/gtkrc:/home/bossik/.gtkrc-1.2-gnome2",
"WINDOWID=54525955", "GNOME_KEYRING_CONTROL=/tmp/keyring-RKZ0cf",
"SBCL_HOME=/usr/lib64/sbcl", "USER=bossik",
"PRELINK_PATH_MASK=/usr/lib64/klibc:/usr/lib64/libfreebl3.so:/usr/lib64/\
libnssdbm3.so:/usr/lib64/libsoftokn3.so",
"LS_COLORS=rs=0:di=01;34:ln=01;36:mh=00:pi=40;33:so=01;35:do=01;35:bd=40\
;33;01:cd=40;33;01:or=01;05;37;41:mi=01;05;37;41:su=37;41:sg=30;43:ca=30;41:tw\
=30;42:ow=34;42:st=37;44:ex=01;32:*.tar=01;31:*.tgz=01;31:*.arj=01;31:*.taz=01\
;31:*.lzh=01;31:*.lzma=01;31:*.tlz=01;31:*.txz=01;31:*.zip=01;31:*.z=01;31:*.Z\
=01;31:*.dz=01;31:*.gz=01;31:*.lz=01;31:*.xz=01;31:*.bz2=01;31:*.bz=01;31:*.tb\
z=01;31:*.tbz2=01;31:*.tz=01;31:*.deb=01;31:*.rpm=01;31:*.jar=01;31:*.rar=01;3\
1:*.ace=01;31:*.zoo=01;31:*.cpio=01;31:*.7z=01;31:*.rz=01;31:*.jpg=01;35:*.jpe\
g=01;35:*.gif=01;35:*.bmp=01;35:*.pbm=01;35:*.pgm=01;35:*.ppm=01;35:*.tga=01;3\
5:*.xbm=01;35:*.xpm=01;35:*.tif=01;35:*.tiff=01;35:*.png=01;35:*.svg=01;35:*.s\
vgz=01;35:*.mng=01;35:*.pcx=01;35:*.mov=01;35:*.mpg=01;35:*.mpeg=01;35:*.m2v=0\
1;35:*.mkv=01;35:*.ogm=01;35:*.mp4=01;35:*.m4v=01;35:*.mp4v=01;35:*.vob=01;35:\
*.qt=01;35:*.nuv=01;35:*.wmv=01;35:*.asf=01;35:*.rm=01;35:*.rmvb=01;35:*.flc=0\
1;35:*.avi=01;35:*.fli=01;35:*.flv=01;35:*.gl=01;35:*.dl=01;35:*.xcf=01;35:*.x\
wd=01;35:*.yuv=01;35:*.cgm=01;35:*.emf=01;35:*.axv=01;35:*.anx=01;35:*.ogv=01;\
35:*.ogx=01;35:*.pdf=00;32:*.ps=00;32:*.txt=00;32:*.patch=00;32:*.diff=00;32:*\
log=00;32:*.tex=00;32:*.doc=00;32:*.aac=00;36:*.au=00;36:*.flac=00;36:*.mid=0\
0;36:*.midi=00;36:*.mka=00;36:*.mp3=00;36:*.mpc=00;36:*.ogg=00;36:*.ra=00;36:*\
wav=00;36:*.axa=00;36:*.oga=00;36:*.spx=00;36:*.xspf=00;36:",
"GDK_USE_XFT=1", "SSH_AUTH_SOCK=/tmp/keyring-RKZ0cf/ssh",
"USERNAME=bossik",
"SESSION_MANAGER=local/Ghost:@/tmp/.ICE-unix/4386,unix/Ghost:/tmp/.ICE-u\
nix/4386",
"CONFIG_PROTECT_MASK=/etc/sandbox.d /etc/fonts/fonts.conf /etc/gconf /et\
c/terminfo /etc/ca-certificates.conf /etc/texmf/web2c /etc/texmf/language.dat.\
d /etc/texmf/language.def.d /etc/texmf/updmap.d /etc/revdep-rebuild",
"PAGER=/usr/bin/less", "XDG_CONFIG_DIRS=/etc/xdg",
"PATH=/usr/local/bin:/usr/bin:/bin:/opt/bin:/usr/x86_64-pc-linux-gnu/gcc\
-bin/4.4.4:/usr/games/bin", "SBCL_SOURCE_ROOT=/usr/lib64/sbcl/src",
"DESKTOP_SESSION=gnome", "GDM_XSERVER_LOCATION=local",
"PWD=/home/bossik/Papers/ks", "EDITOR=/bin/nano", "LANG=en_US.UTF-8",
"GDM_LANG=en_US.UTF-8", "GDMSESSION=gnome", "SHLVL=1",
"HOME=/home/bossik", "GNOME_DESKTOP_SESSION_ID=this-is-deprecated",
"LESS=-R -M --shift 5", "LOGNAME=bossik", "CVS_RSH=ssh",
"DBUS_SESSION_BUS_ADDRESS=unix:abstract=/tmp/dbus-fOYtkC6BIi,guid=812def\
ce2e8ed7c9e4b46a2700000026",
"XDG_DATA_DIRS=/usr/local/share:/usr/share:/usr/share/gdm",
"LESSOPEN=|lesspipe.sh %s", "WINDOWPATH=7",
"INFOPATH=/usr/share/info:/usr/share/binutils-data/x86_64-pc-linux-gnu/2\
20.1/info:/usr/share/gcc-data/x86_64-pc-linux-gnu/4.4.4/info",
"DISPLAY=:0.0", "OPENGL_PROFILE=nvidia",
"XAUTHORITY=/home/bossik/.Xauthority", "COLORTERM=gnome-terminal" ],
RootPaths := [ "/usr/share/gap/" ], UserHome := "/home/bossik",
gaprc := "/home/bossik/.gaprc",
DirectoriesLibrary := rec( trans := [ dir("/usr/share/gap/trans/") ],
pkg := [ dir("/usr/share/gap/pkg/") ],
doc/tut := [ dir("/usr/share/gap/doc/tut/") ],
doc/ref := [ dir("/usr/share/gap/doc/ref/") ],
doc/ext := [ dir("/usr/share/gap/doc/ext/") ],
doc/prg := [ dir("/usr/share/gap/doc/prg/") ],
doc/new := [ dir("/usr/share/gap/doc/new/") ] ),
DirectoriesSystemPrograms := [ "/usr/local/bin/", "/usr/bin/", "/bin/",
"/opt/bin/", "/usr/x86_64-pc-linux-gnu/gcc-bin/4.4.4/",
"/usr/games/bin/" ], DirectoriesPrograms := false,
DirectoriesTemporary := [ ], DirectoryCurrent := false,
ReadObsolete := true,
CommandLineOptions := rec( A := false, B := "", D := false, E := false,
K := "0", L := "", M := false, N := false, O := false, P := "0",
U := "", W := "0", R := "", T := false, X := false, Y := false,
a := "0", b := false, c := "0", e := false, f := false, g := 0,
i := "", l := [ "/usr/share/gap" ], m := "32m", n := false,
o := "256m", p := false, q := false, r := false, x := "80", y := "24",
z := "20" ),
BannerString := " \n ######### ###### ######\
##### ### \n ############# ###### ########\
#### #### \n ############## ######## ##########\
### ##### \n ############### ######## ##### ####\
## ##### \n ###### # ######### ##### #####\
###### \n ###### ########## ##### ##### \
####### \n ##### ##### #### ##### ###### #\
####### \n #### ##### ##### ############# ### \
#### \n ##### ####### #### #### ########### #### #\
### \n ##### ####### ##### ##### ###### #### ###\
# \n ##### ####### ##### ##### ##### ############\
#\n ##### ##### ################ ##### #############\
\n ###### ##### ################ ##### #############\n\
################ ################## ##### #### \n \
############### ##### ##### ##### #### \n \
############# ##### ##### ##### #### \n \
######### ##### ##### ##### #### \n \
\n Infor\
mation at: http://www.gap-system.org\n Try '?help' for help. See also '?\
copyright' and '?authors'\n \n", ViewLength := 3, MaxNrArgsMethod := 6,
ScanCommandLineOption := function( name, type, default ) ... end,
PackagesLoaded :=
rec( tomlib := [ "/usr/share/gap/pkg/tomlib", "1.1.4", "TomLib" ] ),
PackagesInfo :=
rec( tomlib := [ rec( PackageName := "TomLib", MyVersion := "1r1p4",
MyWWWHome := "http://www.math.rwth-aachen.de/~Thomas.Breuer",
Subtitle := "The GAP Library of Tables of Marks",
Version := "1.1.4", Autoload := true, Date := "20/11/2008",
PackageWWWHome := "http://www.math.rwth-aachen.de/~Thomas.Breuer\
/tomlib", ArchiveURL := "http://www.math.rwth-aachen.de/~Thomas.Breuer/tomlib/\
tomlib1r1p4", ArchiveFormats := ".tar.gz,.zoo",
Persons := [ rec( LastName := "Breuer", FirstNames := "Thomas",
IsAuthor := false, IsMaintainer := true,
Email := "sam at math.rwth-aachen.de",
WWWHome := "http://www.math.rwth-aachen.de/~Thomas.Breue\
r", Place := "Aachen",
Institution := "Lehrstuhl D für Mathematik, RWTH Aa\
chen", PostalAddress := "Thomas Breuer\nLehrstuhl D für Mathematik\nTempl\
ergraben 64\n52062 Aachen\nGermany" ),
rec( LastName := "Merkwitz", FirstNames := "Thomas",
IsAuthor := true, IsMaintainer := false,
Email := "Thomas.Merkwitz at Team4.DE" ),
rec( LastName := "Pfeiffer", FirstNames := "Götz",
IsAuthor := true, IsMaintainer := false,
Email := "goetz.pfeiffer at nuigalway.ie",
Place := "Galway" ) ], Status := "deposited",
README_URL := "http://www.math.rwth-aachen.de/~Thomas.Breuer/tom\
lib/README", PackageInfoURL := "http://www.math.rwth-aachen.de/~Thomas.Breuer/\
tomlib/PackageInfo.g",
AbstractHTML := "The package contains the <span class=\"pkgname\
\">GAP</span> Library of Tables of Marks",
PackageDoc := [ rec( BookName := "TomLib",
ArchiveURLSubset := [ "doc", "htm" ],
HTMLStart := "htm/chapters.htm",
PDFFile := "doc/manual.pdf",
SixFile := "doc/manual.six",
LongTitle := "The GAP Library of Tables of Marks",
Autoload := true ) ],
Dependencies := rec( GAP := ">= 4.4",
NeededOtherPackages := [ ],
SuggestedOtherPackages := [ [ "ctbllib", ">= 1.1" ] ],
ExternalConditions := [ ] ),
AvailabilityTest := function( arg ) ... end,
TestFile := "tst/testall.g",
Keywords := [ "table of marks", "Burnside matrix",
"subgroup lattice", "finite simple groups",
"Moebius function", "Euler function" ],
InstallationPath := "/usr/share/gap/pkg/tomlib" ) ] ),
TestData := rec( ), BytesPerVariable := 8,
CompareKernelVersions := function( ) ... end,
LoadedComponents := rec( small := "2.1", small2 := "2.0", small3 := "2.0",
small4 := "1.0", small5 := "1.0", small6 := "1.0", small7 := "1.0",
small8 := "1.0", small9 := "1.0", small10 := "0.2", id2 := "3.0",
id3 := "2.1", id4 := "1.0", id5 := "1.0", id6 := "1.0", id9 := "1.0",
id10 := "0.1", trans := "1.0", prim := "2.1" ),
PackagesRestrictions := rec(
anupq := rec( OnInitialization := function( pkginfo ) ... end,
OnLoad := function( pkginfo ) ... end ),
autpgrp := rec( OnInitialization := function( pkginfo ) ... end,
OnLoad := function( pkginfo ) ... end ),
guava := rec( OnInitialization := function( pkginfo ) ... end,
OnLoad := function( pkginfo ) ... end ) ),
SystemInformation := function( basic, extended ) ... end,
PackagesInfoAutoload :=
rec( tomlib := [ rec( PackageName := "TomLib", MyVersion := "1r1p4",
MyWWWHome := "http://www.math.rwth-aachen.de/~Thomas.Breuer",
Subtitle := "The GAP Library of Tables of Marks",
Version := "1.1.4", Autoload := true, Date := "20/11/2008",
PackageWWWHome := "http://www.math.rwth-aachen.de/~Thomas.Breuer\
/tomlib", ArchiveURL := "http://www.math.rwth-aachen.de/~Thomas.Breuer/tomlib/\
tomlib1r1p4", ArchiveFormats := ".tar.gz,.zoo",
Persons := [ rec( LastName := "Breuer", FirstNames := "Thomas",
IsAuthor := false, IsMaintainer := true,
Email := "sam at math.rwth-aachen.de",
WWWHome := "http://www.math.rwth-aachen.de/~Thomas.Breue\
r", Place := "Aachen",
Institution := "Lehrstuhl D für Mathematik, RWTH Aa\
chen", PostalAddress := "Thomas Breuer\nLehrstuhl D für Mathematik\nTempl\
ergraben 64\n52062 Aachen\nGermany" ),
rec( LastName := "Merkwitz", FirstNames := "Thomas",
IsAuthor := true, IsMaintainer := false,
Email := "Thomas.Merkwitz at Team4.DE" ),
rec( LastName := "Pfeiffer", FirstNames := "Götz",
IsAuthor := true, IsMaintainer := false,
Email := "goetz.pfeiffer at nuigalway.ie",
Place := "Galway" ) ], Status := "deposited",
README_URL := "http://www.math.rwth-aachen.de/~Thomas.Breuer/tom\
lib/README", PackageInfoURL := "http://www.math.rwth-aachen.de/~Thomas.Breuer/\
tomlib/PackageInfo.g",
AbstractHTML := "The package contains the <span class=\"pkgname\
\">GAP</span> Library of Tables of Marks",
PackageDoc := [ rec( BookName := "TomLib",
ArchiveURLSubset := [ "doc", "htm" ],
HTMLStart := "htm/chapters.htm",
PDFFile := "doc/manual.pdf",
SixFile := "doc/manual.six",
LongTitle := "The GAP Library of Tables of Marks",
Autoload := true ) ],
Dependencies := rec( GAP := ">= 4.4",
NeededOtherPackages := [ ],
SuggestedOtherPackages := [ [ "ctbllib", ">= 1.1" ] ],
ExternalConditions := [ ] ),
AvailabilityTest := function( arg ) ... end,
TestFile := "tst/testall.g",
Keywords := [ "table of marks", "Burnside matrix",
"subgroup lattice", "finite simple groups",
"Moebius function", "Euler function" ],
InstallationPath := "/usr/share/gap/pkg/tomlib" ) ] ),
PackagesInfoAutoloadDocumentation := rec( ),
PackagesInfoRefuseLoad := [ ], PackagesNames := [ "tomlib" ],
PackagesInfoInitialized := true )
gap>
22.01.2011, 08:36, "Igor Korepanov" <paloff at ya.ru>:
> Addition to my letter:
>
> GAP looks indeed buried in deep meditation; computer reports:
>
> Processor: 63% in use
>
> 22.01.2011, 08:23, "Igor Korepanov" <paloff at ya.ru>;:
>
>> Dear GAP creators,
>>
>> here is my GAP session:
>>
>> gap> r := Ring( 10, 12 );
>> <ring with 2 generators>
>> gap> 10 in r;
>>
>> - and GAP is still thinking over this very profound question.
>>
>> What did I miss?
>>
>> Thank you in advance,
>>
>> Igor
>>
>> _______________________________________________
>> Forum mailing list
>> Forum at mail.gap-system.org
>> http://mail.gap-system.org/mailman/listinfo/forum
>
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