%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ARTICLES
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@
article{Dis14,
author = {Distler, Andreas},
title = {Finite Nilpotent Semigroups of Small Coclass},
journal = {Communications in Algebra},
volume = {42},
number = {3},
pages = {1136-1150},
year = {2014},
doi = {10.1080/00927872.2012.733986},
URL = {
https://www.tandfonline.com/doi/abs/10.1080/00927872.2012.733986},
eprint = {
https://www.tandfonline.com/doi/pdf/10.1080/00927872.2012.733986}
}
@
article {For55,
AUTHOR = {Forsythe, George E.},
TITLE = {S{WAC} computes {$126$} distinct semigroups of order {$4$}},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {6},
YEAR = {1955},
PAGES = {443--447},
ISSN = {0002-9939},
MRCLASS = {20.0X},
MRNUMBER = {MR0069814 (16,1085d)},
MRREVIEWER = {A. H. Clifford},
}
@
article {KRS76,
AUTHOR = {Kleitman, Daniel J. and Rothschild, Bruce R. and Spencer, Joel
H.},
TITLE = {The
number of semigroups of order {$n$}},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {55},
YEAR = {1976},
NUMBER = {1},
PAGES = {227--232},
ISSN = {0002-9939},
MRCLASS = {05A15 (20M99)},
MRNUMBER = {MR0414380 (54
\#2483)},
MRREVIEWER = {A. Gewirtz},
}
@
article {DMU13,
AUTHOR = {Distler, Andreas and Maltcev, Victor and Umar, Abdullahi},
TITLE = {{J}*={D}* need not hold in finite semigroups},
JOURNAL = {submitted},
URL = {
https://arxiv.org/abs/1302.0985},
YEAR = {2013},
}
%%%%%%%%%
@
article {SZT94,
AUTHOR = {Satoh, S. and Yama, K. and Tokizawa, M.},
TITLE = {Semigroups of order {$8$}},
JOURNAL = {Semigroup Forum},
FJOURNAL = {Semigroup Forum},
VOLUME = {49},
YEAR = {1994},
NUMBER = {1},
PAGES = {7--29},
ISSN = {0037-1912},
CODEN = {SMGFAN},
MRCLASS = {20M10},
MRNUMBER = {MR1272859 (95i:20080)},
MRREVIEWER = {Bernard L. Madison},
}
%%%%%%%%%
@
article {JW77,
AUTHOR = {Jürgensen, H. and Wick, P.},
TITLE = {Die {H}albgruppen der {O}rdnungen {$
\leq 7$}},
JOURNAL = {Semigroup Forum},
FJOURNAL = {Semigroup Forum},
VOLUME = {14},
YEAR = {1977},
NUMBER = {1},
PAGES = {69--79},
ISSN = {0037-1912},
MRCLASS = {20M99},
MRNUMBER = {MR0447452 (56
\#5764)},
MRREVIEWER = {Eckehart Hotzel},
}
%%%%%%%%%
@
article {Ple67,
AUTHOR = {Plemmons, Robert J.},
TITLE = {There are {${
\rm 15973}$} semigroups of order {${
\rm 6}$}},
JOURNAL = {Math. Algorithms},
VOLUME = {2},
YEAR = {1967},
PAGES = {2--17},
MRCLASS = {20.93},
MRNUMBER = {MR0235059 (38
\#3371)},
}
%%%%%%%%%
@
article {tamura1,
AUTHOR = {Tetsuya, Kazutoshi and Hashimoto, Takao and Akazawa, Tadao and
Shibata, Ryoichi and Inui, Tadashi and Tamura, Takayuki},
TITLE = {All semigroups of order at most {$5$}},
JOURNAL = {J. Gakugei Tokushima Univ. Nat. Sci. Math.},
VOLUME = {6},
YEAR = {1955},
PAGES = {19--39. Errata on loose, unpaginated sheet},
MRCLASS = {20.0X},
MRNUMBER = {MR0078377 (17,1184c)},
MRREVIEWER = {J. L. Selfridge},
}
%%%%%%%%%
@
article {tamura2,
AUTHOR = {Tamura, Takayuki},
TITLE = {Notes on finite semigroups and determination of semigroups of
order {$4$}},
JOURNAL = {J. Gakugei. Tokushima Univ. Math.},
VOLUME = {5},
YEAR = {1954},
PAGES = {17--27},
MRCLASS = {20.0X},
MRNUMBER = {MR0069813 (16,1085c)},
MRREVIEWER = {A. H. Clifford},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% BOOKS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@
book {Gri95,
AUTHOR = {Grillet, P.-A.},
TITLE = {Semigroups},
SERIES = {Monographs and Textbooks in Pure and Applied Mathematics},
VOLUME = {193},
NOTE = {An introduction to the structure theory},
PUBLISHER = {Marcel Dekker Inc.},
ADDRESS = {New York},
YEAR = {1995},
PAGES = {xii+398},
ISBN = {0-8247-9662-4},
MRCLASS = {20M10 (20M14 20M17 20M18 20M35)},
MRNUMBER = {MR1350793 (96k:20122)},
MRREVIEWER = {M{
\'a}ria B. Szendrei},
}
%%%%%%%%%
@
book {HP73,
AUTHOR = {Harary, Frank and Palmer, Edgar M.},
TITLE = {Graphical enumeration},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {xiv+271},
MRCLASS = {05C30},
MRNUMBER = {MR0357214 (50
\#9682)},
MRREVIEWER = {R. W. Robinson},
}
%%%%%%%%%
@
book {How76,
AUTHOR = {Howie, J. M.},
TITLE = {An introduction to semigroup theory},
NOTE = {L.M.S. Monographs, No. 7},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {London},
YEAR = {1976},
PAGES = {x+272},
MRCLASS = {20MXX},
MRNUMBER = {MR0466355 (57
\#6235)},
MRREVIEWER = {T. E. Hall},
}
%%%%%%%%%
@
book {JMS91,
AUTHOR = {Jürgensen, H. and Migliorini, F. and Sz{
\'e}p, J.},
TITLE = {Semigroups},
PUBLISHER = {Akad
\'emiai Kiad
\'o (Publishing House of the Hungarian Academy
of Sciences)},
ADDRESS = {Budapest},
YEAR = {1991},
PAGES = {vi+121},
ISBN = {963-05-6046-1},
MRCLASS = {20Mxx (20-01)},
MRNUMBER = {MR1131287 (92j:20056)},
MRREVIEWER = {John M. Howie},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% MANUALS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@inproceedings{minion,
author = {Ian P. Gent and
Christopher Jefferson and
Ian Miguel},
title = {Minion: A Fast Scalable Constraint Solver},
booktitle = {The European Conference on Artificial Intelligence 2006
(ECAI 06)},
editor = {Gerhard Brewka and
Silvia Coradeschi and
Anna Perini and
Paolo Traverso},
publisher = {IOS Press},
year = {2006},
isbn = {1-58603-642-4},
pages = {98-102},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% MISC
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@misc{OEIS,
AUTHOR = {Sloane, N. J. A.},
TITLE = {The On-Line Encyclopedia of Integer Sequences},
YEAR = {2008},
howpublished ={{
\verb+
https://oeis.org+}}
}
%%%%%%%%%
@manual{smallgroups,
author = {Besche, H. U. and Eick, B. and O
'Brien, E. A.},
title =
"{The Small Groups Library - a GAP package}",
year = 2002,
url =
"\verb+(http://www.icm.tu-bs.de/ag_algebra/software/small/small.html)+",
}
@phdthesis{Dis10,
author = {Distler, A.},
title = {Classification and Enumeration of finite Semigroups},
school = {St Andrews University},
year = {2010}
}
