Fundamentals of semigroup theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
1995
|
| Series: | London Mathematical Society: [London Mathematical Society monographs / New series]
12 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 351 S. graph. Darst. |
| ISBN: | 0198511949 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Introductory ideas 1
1.1 Basic definitions 1
1.2 Monogenic semigroups 8
1.3 Ordered sets, semilattices and lattices 13
1.4 Binary relations; equivalences 16
1.5 Congruences 22
1.6 Free semigroups and monoids; presentations 29
1.7 Ideals and Rees congruences 33
1.8 Lattices of equivalences and congruences* 34
1.9 Exercises 37
1.10 Notes 44
2 Green s equivalences; regular semigroups 45
2.1 Green s equivalences 45
2.2 The structure of P classes 48
2.3 Regular D classes 50
2.4 Regular semigroups 54
2.5 The sandwich set 58
2.6 Exercises 60
2.7 Notes 64
3 0 simple semigroups 66
3.1 Simple and 0 simple semigroups; principal factors 66
3.2 The Rees Theorem 69
3.3 Completely simple semigroups 77
3.4 Isomorphism and normalization 80
3.5 Congruences on completely 0 simple semigroups* 83
3.6 The lattice of congruences on a completely 0 simple
semigroup* 91
3.7 Finite congruence free semigroups* 93
3.8 Exercises 95
3.9 Notes 101
4 Completely regular semigroups 102
4.1 The Clifford decomposition 103
4.2 Clifford semigroups 107
4.3 Varieties 108
4.4 Bands 113
4.5 Free bands 119
4.6 Varieties of bands* 124
x Contents
4.7 Exercises 138
4.8 Notes 142
5 Inverse semigroups 144
5.1 Preliminaries 145
5.2 The natural order relation 152
5.3 Congruences on inverse semigroups 154
5.4 The Munn semigroup 162
5.5 Anti uniform semilattices 166
5.6 Bisimple inverse semigroups 169
5.7 Simple inverse semigroups 176
5.8 Representations of inverse semigroups 185
5.9 .E unitary inverse semigroups 192
5.10 Free inverse monoids 200
5.11 Exercises 211
5.12 Notes 219
6 Other classes of regular semigroups 222
6.1 Locally inverse semigroups 223
6.2 Orthodox semigroups 226
6.3 Semibands 230
6.4 Exercises 235
6.5 Notes 237
7 Free semigroups 238
7.1 Properties of free semigroups 238
7.2 Codes 243
7.3 Exercises 248
7.4 Notes 250
8 Semigroup amalgams 251
8.1 Systems 252
8.2 Free products 258
8.3 Dominions and zigzags 266
8.4 Direct limits, free extensions and free products 274
8.5 The extension property 288
8.6 Inverse semigroups and amalgamation 303
8.7 Exercises 310
8.8 Notes 315
References 318
List of symbols 341
Index 345
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:56:37Z |
| institution | BVB |
| isbn | 0198511949 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007107184 |
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| physical | X, 351 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | London Mathematical Society: [London Mathematical Society monographs / New series] |
| spelling | Howie, John M. 1936- Verfasser (DE-588)122603427 aut Fundamentals of semigroup theory John M. Howie Oxford Clarendon Press 1995 X, 351 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: [London Mathematical Society monographs / New series] 12 Halbgruppentheorie (DE-588)4288418-4 gnd rswk-swf Halbgruppe (DE-588)4022990-7 gnd rswk-swf Halbgruppentheorie (DE-588)4288418-4 s DE-604 Halbgruppe (DE-588)4022990-7 s New series] London Mathematical Society: [London Mathematical Society monographs 12 (DE-604)BV045355493 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007107184&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Howie, John M. 1936- Fundamentals of semigroup theory Halbgruppentheorie (DE-588)4288418-4 gnd Halbgruppe (DE-588)4022990-7 gnd |
| subject_GND | (DE-588)4288418-4 (DE-588)4022990-7 |
| title | Fundamentals of semigroup theory |
| title_auth | Fundamentals of semigroup theory |
| title_exact_search | Fundamentals of semigroup theory |
| title_full | Fundamentals of semigroup theory John M. Howie |
| title_fullStr | Fundamentals of semigroup theory John M. Howie |
| title_full_unstemmed | Fundamentals of semigroup theory John M. Howie |
| title_short | Fundamentals of semigroup theory |
| title_sort | fundamentals of semigroup theory |
| topic | Halbgruppentheorie (DE-588)4288418-4 gnd Halbgruppe (DE-588)4022990-7 gnd |
| topic_facet | Halbgruppentheorie Halbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007107184&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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