%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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},
}
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% BOOKS
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@ 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},
}
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% MANUALS
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@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},
}
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% 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}
}
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