%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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
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@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}
}