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Bibliographic Details
Main Authors:	Bliss, Thomas S. (Author), Janowitz, Melvin F. (Author)
Format:	Book
Language:	English
Published:	Oxford u.a. Pergamon Pr. 1972
Edition:	1. ed.
Series:	International series of monographs on pure and applied mathematics 102
Subjects:	Residuated mappings Partiële orde Residuen Semi-groupes Semigroepen Treillis, Théorie des Lattice theory Semigroups Geordnete algebraische Struktur Algebraische Struktur Halbgruppe
Online Access:	Inhaltsverzeichnis
Physical Description:	IX, 379 S.

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MARC


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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.
author_facet	Bliss, Thomas S. Janowitz, Melvin F.
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author_sort	Bliss, Thomas S.
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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
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dewey-sort	3511 233
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	1. ed.
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id	DE-604.BV002646328
illustrated	Not Illustrated
indexdate	2024-07-09T15:47:51Z
institution	BVB
language	English
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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
volume_link	(DE-604)BV001888024
work_keys_str_mv	AT blissthomass residuationtheory AT janowitzmelvinf residuationtheory

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