forked from libsemigroups/libsemigroups_pybind11
-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathlibsemigroups.bib
More file actions
643 lines (583 loc) · 21.3 KB
/
Copy pathlibsemigroups.bib
File metadata and controls
643 lines (583 loc) · 21.3 KB
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
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
%% This BibTeX bibliography file was created using BibDesk.
%% https://bibdesk.sourceforge.io/
%% Created for James Mitchell at 2024-02-01 14:50:47 +0000
%% Saved with string encoding Unicode (UTF-8)
@inbook{Carnino2011,
title = {Random Generation of Deterministic Acyclic Automata Using Markov Chains},
ISBN = {9783642222566},
ISSN = {1611-3349},
url = {http://dx.doi.org/10.1007/978-3-642-22256-6_7},
DOI = {10.1007/978-3-642-22256-6_7},
booktitle = {Implementation and Application of Automata},
publisher = {Springer Berlin Heidelberg},
author = {Carnino, Vincent and De Felice, Sven},
year = {2011},
pages = {65–75}
}
@misc{Hop71,
Author = {Hopcroft, John E. and Karp, R. M.},
Title = {A linear algorithm for testing equivalence of finite automata},
Journal = {Technical Report 114, Cornell University},
Url = {https://hdl.handle.net/1813/5958},
Month={December},
Year = {1971},
}
@article{Gab00,
Author = {Harold N. Gabow},
Doi = {https://dx.doi.org/10.1016/S0020-0190(00)00051-X},
Issn = {0020-0190},
Journal = {Information Processing Letters},
Keywords = {Algorithms},
Number = {34},
Pages = {107 - 114},
Title = {Path-based depth-first search for strong and biconnected
components},
Url = {https://www.sciencedirect.com/science/article/pii/S002001900000051X},
Volume = {74},
Year = {2000},
}
@misc{Anagnostopoulou-Merkouri2023aa,
author = {Anagnostopoulou-Merkouri, Marina and Mitchell, James D. and Tsalakou, Maria},
copyright = {arXiv.org perpetual, non-exclusive license},
date-added = {2024-02-01 14:50:42 +0000},
date-modified = {2024-02-01 14:50:42 +0000},
doi = {10.48550/ARXIV.2302.06295},
keywords = {Rings and Algebras (math.RA), Data Structures and Algorithms (cs.DS), FOS: Mathematics, FOS: Mathematics, FOS: Computer and information sciences, FOS: Computer and information sciences, 20M20},
publisher = {arXiv},
title = {Computing the congruences of a finite semigroup or monoid},
url = {https://arxiv.org/abs/2302.06295},
year = {2023},
bdsk-url-1 = {https://arxiv.org/abs/2302.06295},
bdsk-url-2 = {https://doi.org/10.48550/ARXIV.2302.06295}}
@article{Abram2022aa,
author = {Abram, A. and Reutenauer, C.},
doi = {10.1007/s00233-022-10285-3},
journal = {Semigroup Forum},
number = 1,
pages = {1--45},
title = {The stylic monoid},
volume = 105,
year = 2022,
bdsk-url-1 = {https://doi.org/10.1007/s00233-022-10285-3}}
@article{Aho1975aa,
author = {Aho, Alfred V. and Corasick, Margaret J.},
journal = {Communications of the {ACM}},
month = { June },
year = {1975},
title = {Efficient string matching: an aid to bibliographic search},
volume = {18},
issn = {0001-0782, 1557-7317},
url = {https://doi.org/10.1145/360825.360855},
doi = {10.1145/360825.360855},
shorttitle = {Efficient string matching},
abstract = {This paper describes a simple, efficient algorithm to locate all occurrences of any of a finite number of keywords in a string of text. The algorithm consists of constructing a finite state pattern matching machine from the keywords and then using the pattern matching machine to process the text string in a single pass. Construction of the pattern matching machine takes time proportional to the sum of the lengths of the keywords. The number of state transitions made by the pattern matching machine in processing the text string is independent of the number of keywords. The algorithm has been used to improve the speed of a library bibliographic search program by a factor of 5 to 10.},
pages = {333--340},
number = {6},
urldate = {2024-03-26},
date = {1975-06},
langid = {english}
}
@article{Aizenstat1958aa,
author = {Aizenstat, A.},
journal = {Mat. Sb. N.S.},
number = 87,
pages = {261--280},
title = {Defining relations of finite symmetric semigroups},
volume = 45,
year = 1958}
@article{Aizenstat1962aa,
author = {Aizenstat, A.},
journal = {Sibirsk. Mat. Z.},
pages = {9-11},
title = {Generating relations of an endomorphism semigroup of a finite linearly ordered chain},
volume = 2,
year = 1962}
@article{Arthur2000aa,
author = {Arthur, Robert E. and Ruskuc, N.},
doi = {10.1007/s10012-000-0001-1},
journal = {Southeast Asian Bulletin of Mathematics},
number = 1,
pages = {1--7},
title = {Presentations for Two Extensions of the Monoid of Order-Preserving Mappings on a Finite Chain},
volume = 24,
year = 2000,
bdsk-url-1 = {https://doi.org/10.1007/s10012-000-0001-1}}
@article{Ayik2000aa,
author = {Ayik, H. and Campbell, C. M. and O'Connor, J. J. and Ruskuc, N.},
doi = {10.1007/s002339910016},
journal = {Semigroup Forum},
number = 2,
pages = {231--242},
title = {Minimal Presentations and Efficiency of Semigroups},
volume = 60,
year = 2000,
bdsk-url-1 = {https://doi.org/10.1007/s002339910016}}
@book{Burnside2012aa,
author = {Burnside, William},
doi = {10.1017/cbo9781139237253.023},
publisher = {Cambridge University Press},
title = {Theory of Groups of Finite Order},
year = 2012,
bdsk-url-1 = {https://doi.org/10.1017/cbo9781139237253.023}}
@article{Campbell1994aa,
author = {Colin M. Campbell and Edmund F. Robertson and Nikola Ruskuc and Richard M. Thomas},
doi = {10.1016/0022-4049(94)90005-1},
journal = {Journal of Pure and Applied Algebra},
number = 1,
pages = {49--57},
title = {Fibonacci semigroups},
url = {https://doi.org/10.1016/0022-4049(94)90005-1},
volume = 94,
year = 1994,
bdsk-url-1 = {https://doi.org/10.1016/0022-4049(94)90005-1}}
@article{Cassaigne2001aa,
author = {Cassaigne, Julien and Espie, Marc and Krob, Daniel and Novelli, Jean-Christophe and Hivert, Florent},
doi = {10.1142/s0218196701000425},
journal = {International Journal of Algebra and Computation},
number = {03},
pages = {301--334},
title = {The Chinese monoid},
url = {https://doi.org/10.1142/S0218196701000425},
volume = 11,
year = 2001,
bdsk-url-1 = {https://doi.org/10.1142/S0218196701000425}}
@misc{Coleman2022aa,
author = {T. D. H. Coleman and J. D. Mitchell and F. L. Smith and M. Tsalakou},
eprint = {arXiv:2203.11148},
title = {The Todd-Coxeter Algorithm for Semigroups and Monoids},
year = 2022}
@book{Coxeter1979aa,
author = {Coxeter, H. S. M. and Moser, W. O. J.},
publisher = {Springer-Verlag},
title = {Generators and relators for discrete groups},
year = 1979}
@misc{Easdown2007aa,
author = {Easdown, David and East, James and FitzGerald, D. G.},
doi = {10.48550/arxiv.0707.2439},
publisher = {arXiv},
title = {A Presentation for the Dual Symmetric Inverse Monoid},
year = 2007,
bdsk-url-1 = {https://doi.org/10.48550/arxiv.0707.2439}}
@article{East2011aa,
author = {East, James},
doi = {10.1016/j.jalgebra.2011.04.008},
issn = {0021-8693},
journal = {Journal of Algebra},
number = 1,
pages = {1--26},
title = {Generators and relations for partition monoids and algebras},
volume = 339,
year = 2011,
bdsk-url-1 = {https://doi.org/10.1016/j.jalgebra.2011.04.008}}
@article{East2022aa,
author = {East, James},
doi = {10.1093/qmath/haab001},
journal = {The Quarterly Journal of Mathematics},
month = {02},
number = 4,
pages = {1253--1269},
title = {{Presentations for Temperley--Lieb Algebras}},
url = {https://doi.org/10.1093/qmath/haab001},
volume = 72,
year = 2021,
bdsk-url-1 = {https://doi.org/10.1093/qmath/haab001}}
@misc{Fernandes2022aa,
author = {Fernandes, Vitor Hugo},
doi = {10.48550/ARXIV.2211.02155},
published = {arXiv},
title = {On the cyclic inverse monoid on a finite set},
year = 2022,
bdsk-url-1 = {https://doi.org/10.48550/ARXIV.2211.02155}}
@misc{Fernandes2022ab,
author = {Fernandes, V{\'\i}tor H. and Paulista, T{\^a}nia},
doi = {10.48550/ARXIV.2205.02196},
published = {arXiv},
title = {On the monoid of partial isometries of a cycle graph},
year = 2022,
bdsk-url-1 = {https://doi.org/10.48550/ARXIV.2205.02196}}
@article{FitzGerald2003aa,
author = {FitzGerald, D.G.},
doi = {10.1017/s0004972700037692},
journal = {Bulletin of the Australian Mathematical Society},
number = 2,
pages = {317--324},
title = {A presentation for the monoid of uniform block permutations.},
volume = 68,
year = 2003,
bdsk-url-1 = {https://doi.org/10.1017/s0004972700037692}}
@book{Ganyushkin2009aa,
author = {Ganyushkin, Olexandr and Mazorchuk, Volodymyr},
doi = {10.1007/978-1-84800-281-4},
publisher = {Springer London},
title = {Classical Finite Transformation Semigroups},
year = 2009,
bdsk-url-1 = {https://doi.org/10.1007/978-1-84800-281-4}}
@article{Guralnick2008aa,
author = {Guralnick, R. M and Kantor, W. M and Kassabov, M. and Lubotzky, A.},
doi = {10.1090/S0894-0347-08-00590-0},
journal = {Journal of the American Mathematical Society},
pages = {711--774},
title = {Presentations of finite simple groups: A quantitative approach},
volume = 21,
year = 2008,
bdsk-url-1 = {https://doi.org/10.1090/S0894-0347-08-00590-0}}
@phdthesis{Havas1999iy,
author = {Havas, George and Ramsay, Colin},
date-added = {2021-11-04 16:19:14 +0000},
date-modified = {2021-11-04 16:20:42 +0000},
keywords = {version 3},
school = {University of Queensland},
title = {Coset enumeration: ACE},
year = 1999}
@article{Knuth1970aa,
author = {Knuth, Donald E.},
doi = {10.2140/pjm.1970.34.709},
journal = {Pacific Journal of Mathematics},
number = 3,
pages = {709--727},
title = {Permutations, Matrices, and Generalised Young Tableaux},
volume = 34,
year = 1970,
bdsk-url-1 = {https://doi.org/10.2140/pjm.1970.34.709}}
@article{Kudryavtseva2006aa,
author = {Kudryavtseva, Ganna and Mazorchuk, Volodymyr},
doi = {10.2478/s11533-006-0017-6},
issue = 3,
journal = {Central European Journal of Mathematics},
title = {On presentations of Brauer-type monoids},
volume = 4,
year = 2007,
bdsk-url-1 = {https://doi.org/10.2478/s11533-006-0017-6}}
@incollection{Lascoux1981aa,
author = {Lascoux, Alain and Sch\"{u}tzenberger, Marcel-P.},
booktitle = {Noncommutative structures in algebra and geometric combinatorics ({N}aples, 1978)},
pages = {129--156},
publisher = {CNR, Rome},
series = {Quad. ``Ricerca Sci.''},
title = {Le mono\"{i}de plaxique},
volume = {109},
year = 1981}
@article{Maltcev2007aa,
author = {Maltcev, Victor and Mazorchuk, Volodymyr},
doi = {10.21136/mb.2007.134125},
issue = 3,
journal = {Mathematica Bohemica},
title = {Presentation of the singular part of the Brauer monoid},
volume = 132,
year = 2007,
bdsk-url-1 = {https://doi.org/10.21136/mb.2007.134125}}
@article{Mitchell2021aa,
author = {J. D. Mitchell and M. Tsalakou},
date-added = {2021-03-09 15:23:03 +0000},
date-modified = {2021-03-09 15:24:14 +0000},
journal = {preprint},
title = {An explicit algorithm for normal forms in small overlap monoids},
year = 2021}
@article{Kambites2009aa,
author = {Kambites, Mark},
date-added = {2021-03-09 15:23:00 +0000},
date-modified = {2021-03-09 15:24:18 +0000},
doi = {10.1016/j.jalgebra.2008.09.038},
fjournal = {Journal of Algebra},
issn = {0021-8693},
journal = {J. Algebra},
mrclass = {20m05 (03d40)},
mrnumber = 2501517,
mrreviewer = {Noelle C. Antony},
number = 8,
pages = {2187--2205},
title = {Small overlap monoids. {I}. {T}he word problem},
url = {http://dx.doi.org/10.1016/j.jalgebra.2008.09.038},
volume = 321,
year = 2009,
bdsk-url-1 = {http://www.ams.org/mathscinet-getitem?mr=2501517},
bdsk-url-2 = {http://dx.doi.org/10.1016/j.jalgebra.2008.09.038}}
@article{Kambites2009ab,
author = {Kambites, Mark},
date-added = {2021-03-09 15:23:00 +0000},
date-modified = {2021-03-09 15:24:17 +0000},
doi = {10.1016/j.jalgebra.2008.12.028},
fjournal = {Journal of Algebra},
issn = {0021-8693},
journal = {J. Algebra},
mrclass = {20m05 (20m35 68q45)},
mrnumber = 2501522,
mrreviewer = {Noelle C. Antony},
number = 8,
pages = {2302--2316},
title = {Small overlap monoids. {II}. {A}utomatic structures and normal forms},
url = {http://dx.doi.org/10.1016/j.jalgebra.2008.12.028},
volume = 321,
year = 2009,
bdsk-url-1 = {http://www.ams.org/mathscinet-getitem?mr=2501522},
bdsk-url-2 = {http://dx.doi.org/10.1016/j.jalgebra.2008.12.028}}
@misc{Gay1999aa,
author = {Gay, Jo{\"e}l and Hivert, Florent},
month = {October},
title = {The 0-Rook Monoid and its Representation Theory},
url = {https://doi.org/10.48550/arXiv.1910.11740},
year = 2019,
bdsk-url-1 = {https://doi.org/10.48550/arXiv.1910.11740}}
@misc{Godelle2009aa,
author = {Godelle, Eddy},
doi = {10.48550/arxiv.0904.0926},
title = {A note on Renner monoids},
url = {https://arxiv.org/abs/0904.0926},
year = 2009,
bdsk-url-1 = {https://arxiv.org/abs/0904.0926},
bdsk-url-2 = {https://doi.org/10.48550/arxiv.0904.0926}}
@article{Gilman1979,
author = {Robert H Gilman},
journal = {Journal of Algebra},
month = {April},
number = 2,
pages = {544--554},
title = {Presentations of groups and monoids},
volume = 57,
year = 1979}
@misc{Holt2018aa,
author = {Holt, Derek},
month = {July},
title = {kbmag -- {GAP} package, {V}ersion 1.5.9},
url = {https://gap-packages.github.io/kbmag/},
year = 2019,
bdsk-url-1 = {https://gap-packages.github.io/kbmag/}}
@book{Jantzen2012aa,
author = {Jantzen, Matthias},
date-added = {2019-12-20 14:27:56 +0000},
date-modified = {2019-12-20 14:28:00 +0000},
publisher = {Springer Science \& Business Media},
title = {Confluent string rewriting},
volume = 14,
year = 2012}
@misc{Martin2011aa,
title={Partitioned binary relations},
author={Paul Martin and Volodymyr Mazorchuk},
year={2011},
eprint={1102.0862},
archivePrefix={arXiv},
primaryClass={math.RT},
url={https://arxiv.org/abs/1102.0862},
}
@article{Moore1897aa,
author = {Moore, E. H.},
journal = {Proc. London Math. Soc.},
number = 28,
pages = {357--366},
title = {Concerning the abstract groups of order k!, k!/2, ...},
volume = 1,
year = 1897}
@book{Sims1994aa,
author = {Sims, Charles C.},
collection = {Encyclopedia of Mathematics and its Applications},
place = {Cambridge},
publisher = {Cambridge University Press},
series = {Encyclopedia of Mathematics and its Applications},
title = {Computation with Finitely Presented Groups},
url = {https://doi.org/10.1017/CBO9780511574702},
year = 1994,
}
@book{Knuth2009aa,
author = {Knuth, Donald E.},
date-added = {2019-10-22 15:37:10 +0100},
date-modified = {2019-10-22 15:37:13 +0100},
edition = {12th},
isbn = {0321580508, 9780321580504},
publisher = {Addison-Wesley Professional},
title = {The Art of Computer Programming, Volume 4, Fascicle 1: Bitwise Tricks \& Techniques; Binary Decision Diagrams},
year = 2009}
@article{Jonusas2017aa,
author = {Jonusas, Julius and Mitchell, James D. and Pfeiffer, Markus},
date-added = {2019-10-18 13:47:37 +0100},
date-modified = {2019-10-18 13:52:37 +0100},
doi = {10.4171/pm/2001},
fjournal = {Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society},
issn = {0032-5155},
journal = {Port. Math.},
mrclass = {20m10 (20b40 20m20 68q42)},
mrnumber = 3763897,
mrreviewer = {Karim Ahmadidelir},
number = 3,
pages = {173--200},
title = {Two variants of the {F}roidure-{P}in algorithm for finite semigroups},
url = {https://doi.org/10.4171/PM/2001},
volume = 74,
year = 2017,
bdsk-url-1 = {https://doi.org/10.4171/PM/2001}}
@incollection{Froidure1997aa,
address = {Berlin},
author = {Froidure, V{\'e}ronique and Pin, Jean-Eric},
booktitle = {Foundations of computational mathematics ({R}io de {J}aneiro, 1997)},
pages = {112--126},
publisher = {Springer},
title = {Algorithms for computing finite semigroups},
year = 1997}
@article{Konieczny1994aa,
author = {Konieczny, Janusz},
doi = {10.1007/bf02573672},
fjournal = {Semigroup Forum},
issn = {0037-1912},
journal = {Semigroup Forum},
mrclass = {20m20},
mrnumber = 1256691,
mrreviewer = {G. J. Lallement},
number = 2,
pages = {235--252},
title = {Green's equivalences in finite semigroups of binary relations},
volume = 48,
year = 1994,
bdsk-url-1 = {https://doi.org/10.1007/BF02573672}}
@article{Lallement1990aa,
author = {Lallement, Gerard and McFadden, Robert},
doi = {10.1016/s0747-7171(08)80057-0},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
journal = {J. Symbolic Comput.},
mrclass = {20m20 (68q45)},
mrnumber = 1087717,
mrreviewer = {Dominique Perrin},
number = 5,
pages = {481--498},
title = {On the determination of {G}reen's relations in finite transformation semigroups},
volume = 10,
year = 1990,
bdsk-url-1 = {https://doi.org/10.1016/S0747-7171(08)80057-0}}
@article{Martin2013aa,
author = {Paul Martin and Volodymyr Mazorchuk},
issn = {00255521, 19031807},
journal = {Mathematica Scandinavica},
number = 1,
pages = {30--52},
publisher = {Mathematica Scandinavica},
title = {Partitioned Binary Relations},
url = {http://www.jstor.org/stable/24493105},
volume = 113,
year = 2013,
bdsk-url-1 = {http://www.jstor.org/stable/24493105}}
@inproceedings{Radoszewski2010aa,
author = {Radoszewski, J. and Rytter, W.},
booktitle = {SOFSEM 2010: Theory and Practice of Computer Science},
doi = {10.1007/978-3-642-11266-9_55},
month = {01},
pages = {663--671},
title = {Efficient Testing of Equivalence of Words in a Free Idempotent Semigroup},
year = 2010,
bdsk-url-1 = {https://doi.org/10.1007/978-3-642-11266-9_55}}
@phdthesis{Ruskuc1995aa,
author = {Ruskuc, Nikola},
school = {University of St Andrews},
title = {Semigroup presentations},
url = {https://research-repository.st-andrews.ac.uk/handle/10023/2821},
year = 1995,
bdsk-url-1 = {https://research-repository.st-andrews.ac.uk/handle/10023/2821}}
@article{Halverson2005aa,
author = {Halverson, Tom and Ram, Arun},
doi = {10.1016/j.ejc.2004.06.005},
journal = {European Journal of Combinatorics},
pages = {869–921},
title = {Partition algebras},
volume = {26},
year = {2005}
}
@misc{Posner2013aa,
arxiv = {1301.4518},
archivePrefix={arXiv},
author = {Posner, Eliezer and Hatch, Kris and Ly, Megan},
month = {01},
title = {Presentation of the Motzkin Monoid},
year = {2013},
url = {https://arxiv.org/abs/1301.4518}
}
@book{Carmichael1956aa,
author = {Carmichael, Robert D.},
title = {Introduction To The Theory Of Groups Of Finite Order},
year = {1956},
publisher = {Dover Publications},
location = {New York}
}
@article{Iwahori1974aa,
title = {On a set of generating relations of the full transformation semigroups},
journal = {Journal of Combinatorial Theory, Series A},
volume = {16},
number = {2},
pages = {147-158},
year = {1974},
issn = {0097-3165},
doi = {https://doi.org/10.1016/0097-3165(74)90040-5},
url = {https://www.sciencedirect.com/science/article/pii/0097316574900405},
author = {Nagayoshi Iwahori and Nobuko Iwahori},
abstract = {A set of generating relations of the full transformation semigroup Σn consisting of all mappings of the set Ω = {1, …, n} into itself with respect to a natural system of generators {γji, σji} (defined in Section 1) is given. The set of relations (1)∼(15) given in Section 1 turns out to be a set of generating relations.}
}
@misc{Mitchell2024aa,
arxiv = {2406.19294},
author = {Mitchell, James D. and Whyte, Murray T.},
archivePrefix={arXiv},
month = {06},
title = {Short presentations for transformation monoids},
url = {https://arxiv.org/abs/2406.19294},
year = {2024}
}
@article{Shutov1960aa,
author = {Shutov, {\'E}. G.},
title = {Defining relations in finite semigroups of partial transformations},
fjournal = {Soviet Mathematics. Doklady},
journal = {Sov. Math., Dokl.},
issn = {0197-6788},
volume = {1},
pages = {784--786},
year = {1960},
language = {English},
zbmath = {3165573},
zbl = {0101.25901}
}
@phdthesis{Gay2018aa,
title = {{Representation of Monoids and Lattice Structures in the Combinatorics of Weyl Groups}},
author = {Gay, Jo{\"e}l},
url = {https://theses.hal.science/tel-01861199},
number = {2018SACLS209},
school = {{Universit{\'e} Paris Saclay (COmUE)}},
year = {2018},
month = Jun,
keywords = {Theoretical computer science ; Algebraic and geometric combinatorics ; Algorithm ; Representation of groups and monoids ; Combinatorics of permutations; trees and tableaux ; Polytope theory ; Informatique fondamentale ; Combinatoire alg{\'e}brique et g{\'e}om{\'e}trique ; Algorithmique ; Repr{\'e}sentations de groupe et des mono{\"i}des ; Combinatoire des permutations; des arbres et des tableaux ; Th{\'e}orie des polytopes},
type = {Theses},
pdf = {https://theses.hal.science/tel-01861199v1/file/76316_GAY_2018_archivage.pdf},
hal_id = {tel-01861199},
hal_version = {v1}
}
@article{Campbell1980aa,
author = {Campbell, C. M. and Robertson, E. F.},
doi = {10.1112/blms/12.1.17},
journal = {Bulletin of the London Mathematical Society},
pages = {17–20},
publisher = {Wiley},
title = {A Deficiency Zero Presentation for SL(2, p)},
volume = {12},
year = {1980}
}
@article{Novelli2000aa,
title = {On the hypoplactic monoid},
journal = {Discrete Mathematics},
volume = {217},
number = {1},
pages = {315-336},
year = {2000},
issn = {0012-365X},
doi = {https://doi.org/10.1016/S0012-365X(99)00270-8},
url = {https://www.sciencedirect.com/science/article/pii/S0012365X99002708},
author = {Jean-Christophe Novelli}
}
@misc{Abram2024aa,
arxiv = {2406.16387},
author = {Abram, Antoine and Hivert, Florent and Mitchell, James D. and Novelli, Jean-Christophe and Tsalakou, Maria},
doi = {10.4204/EPTCS.403.7},
month = {06},
title = {Power Quotients of Plactic-like Monoids},
year = {2024}
}
@article{Stephen1987aa,
title = {Applications of automata theory to presentations of monoids and inverse monoids},
url = {https://digitalcommons.unl.edu/dissertations/AAI8803771},
journal = {ETD collection for University of Nebraska-Lincoln},
author = {Stephen, Joseph Buchanan},
month = {01},
year = {1987}}