Residuation theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford u.a.
Pergamon Pr.
1972
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | International series of monographs on pure and applied mathematics
102 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 379 S. |
Internformat
MARC
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| 100 | 1 | |a Bliss, Thomas S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Residuation theory |c T. S. Blyth ; M. F. Janowitz |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Oxford u.a. |b Pergamon Pr. |c 1972 | |
| 300 | |a IX, 379 S. | ||
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| 490 | 1 | |a International series of monographs on pure and applied mathematics |v 102 | |
| 650 | 4 | |a Residuated mappings | |
| 650 | 7 | |a Partiële orde |2 gtt | |
| 650 | 7 | |a Residuen |2 gtt | |
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| 650 | 7 | |a Semigroepen |2 gtt | |
| 650 | 4 | |a Treillis, Théorie des | |
| 650 | 4 | |a Lattice theory | |
| 650 | 4 | |a Semigroups | |
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| 700 | 1 | |a Janowitz, Melvin F. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804117026270085120 |
|---|---|
| adam_text | CONTENTS
PREFACE vii
chapter 1 FOUNDATIONS 1
1. Ordered sets 1
2. Mappings between ordered sets; residuated mappings 5
3. Directed sets; semilattices 19
4. Lattices; complete lattices 27
5. Morphisms 36
6. Regular equivalences on an ordered set 41
7. Complementation in lattices 63
8. Modularity in lattices 71
9. Distributive lattices 75
10. Congruence relations 81
chapter 2 COORDINATIZING BAER SEMIGROUPS 94
11. Baer rings 94
12. Baer semigroups 104
13. Range closed residuated mappings 118
14. Strongly regular Baer semigroups 135
15. Decreasing Baer semigroups 143
16. Annihilator preserving homomorphisms 149
17. The notion of involution 161
18. Orthomodular lattices 167
19. Foulis semigroups 183
v
Vi CONTENTS
20. Idempotent residuated mappings 189
21. Boolean algebras 199
chapter 3 RESIDUATED ALGEBRAIC STRUC¬
TURES 211
22. Residuated groupoids and semigroups; Molinaro equivalences 211
23. The zigzag equivalence 227
24. Group homomorphic images of ordered semigroups; Querre semigroups 247
25. Dubreil Jacotin semigroups; ,4 nomal semigroups 260
26. Particular types of A nomal semigroups 282
27. F nomality 291
28. fi nomality 300
29. Isotone homomorphic Boolean images of ordered semigroups 309
30. Glivenko semigroups 321
31. Loipomorphisms 331
32. Brouwer semigroups; Brouwer semilattices 340
BIBLIOGRAPHY 361
INDEX 373
OTHER TITLES IN THE SERIES 380
|
| any_adam_object | 1 |
| author | Bliss, Thomas S. Janowitz, Melvin F. |
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| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)251975 (DE-599)BVBBV002646328 |
| dewey-full | 511/.33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.33 |
| dewey-search | 511/.33 |
| dewey-sort | 3511 233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. ed. |
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| indexdate | 2024-07-09T15:47:51Z |
| institution | BVB |
| language | English |
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| oclc_num | 251975 |
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| physical | IX, 379 S. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Pergamon Pr. |
| record_format | marc |
| series | International series of monographs on pure and applied mathematics |
| series2 | International series of monographs on pure and applied mathematics |
| spelling | Bliss, Thomas S. Verfasser aut Residuation theory T. S. Blyth ; M. F. Janowitz 1. ed. Oxford u.a. Pergamon Pr. 1972 IX, 379 S. txt rdacontent n rdamedia nc rdacarrier International series of monographs on pure and applied mathematics 102 Residuated mappings Partiële orde gtt Residuen gtt Semi-groupes Semigroepen gtt Treillis, Théorie des Lattice theory Semigroups Geordnete algebraische Struktur (DE-588)4156743-2 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Halbgruppe (DE-588)4022990-7 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 s DE-604 Halbgruppe (DE-588)4022990-7 s 1\p DE-604 Geordnete algebraische Struktur (DE-588)4156743-2 s 2\p DE-604 Janowitz, Melvin F. Verfasser aut International series of monographs on pure and applied mathematics 102 (DE-604)BV001888024 102 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001697947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bliss, Thomas S. Janowitz, Melvin F. Residuation theory International series of monographs on pure and applied mathematics Residuated mappings Partiële orde gtt Residuen gtt Semi-groupes Semigroepen gtt Treillis, Théorie des Lattice theory Semigroups Geordnete algebraische Struktur (DE-588)4156743-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd Halbgruppe (DE-588)4022990-7 gnd |
| subject_GND | (DE-588)4156743-2 (DE-588)4001166-5 (DE-588)4022990-7 |
| title | Residuation theory |
| title_auth | Residuation theory |
| title_exact_search | Residuation theory |
| title_full | Residuation theory T. S. Blyth ; M. F. Janowitz |
| title_fullStr | Residuation theory T. S. Blyth ; M. F. Janowitz |
| title_full_unstemmed | Residuation theory T. S. Blyth ; M. F. Janowitz |
| title_short | Residuation theory |
| title_sort | residuation theory |
| topic | Residuated mappings Partiële orde gtt Residuen gtt Semi-groupes Semigroepen gtt Treillis, Théorie des Lattice theory Semigroups Geordnete algebraische Struktur (DE-588)4156743-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd Halbgruppe (DE-588)4022990-7 gnd |
| topic_facet | Residuated mappings Partiële orde Residuen Semi-groupes Semigroepen Treillis, Théorie des Lattice theory Semigroups Geordnete algebraische Struktur Algebraische Struktur Halbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001697947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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