Verfügbarkeit: Lattices and ordered algebraic structures

Lattices and ordered algebraic structures:

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Blyth, Thomas S. 1938- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	London Springer 2005
Schriftenreihe:	Universitext
Schlagwörter:	Structures algébriques ordonnées Treillis, Théorie des aOrdered algebraic structures aLattice theory Verbandstheorie Geordnete algebraische Struktur
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012987179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Includes bibliographical references and index
Umfang:	IX, 303 S.
ISBN:	1852339055

Internformat

MARC


LEADER	00000nam a2200000zc 4500
001	BV019658730
003	DE-604
005	20140513
007	t\|
008	050114s2005 xxu \|\|\|\| 00\|\|\| eng d
010			\|a 2004056612
020			\|a 1852339055 \|9 1-85233-905-5
035			\|a (OCoLC)56386911
035			\|a (DE-599)BVBBV019658730
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
044			\|a xxu \|c US
049			\|a DE-703 \|a DE-824 \|a DE-384 \|a DE-91G \|a DE-11 \|a DE-20 \|a DE-19 \|a DE-355 \|a DE-M347
050		0	\|a QA172
082	0		\|a 511.3/3 \|2 22
084			\|a SK 160 \|0 (DE-625)143220: \|2 rvk
084			\|a MAT 068f \|2 stub
100	1		\|a Blyth, Thomas S. \|d 1938- \|e Verfasser \|0 (DE-588)115496076 \|4 aut
245	1	0	\|a Lattices and ordered algebraic structures \|c T. S. Blyth
264		1	\|a London \|b Springer \|c 2005
300			\|a IX, 303 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Universitext
500			\|a Includes bibliographical references and index
650		4	\|a Structures algébriques ordonnées
650		4	\|a Treillis, Théorie des
650		4	\|a aOrdered algebraic structures
650		4	\|a aLattice theory
650	0	7	\|a Verbandstheorie \|0 (DE-588)4127072-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Geordnete algebraische Struktur \|0 (DE-588)4156743-2 \|2 gnd \|9 rswk-swf
689	0	0	\|a Verbandstheorie \|0 (DE-588)4127072-1 \|D s
689	0	1	\|a Geordnete algebraische Struktur \|0 (DE-588)4156743-2 \|D s
689	0		\|5 DE-604
856	4	2	\|m Digitalisierung UB Augsburg \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012987179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-012987179

Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 068f 2008 A 2521
DE-BY-TUM_katkey	1626208
DE-BY-TUM_location	01
DE-BY-TUM_media_number	040010087955
_version_	1821933033561784320
adam_text	Contents Ordered sets; residuated mappings ......................... 1 1.1 The concept of an order .................................. 1 1.2 Order-preserving mappings ............................... 5 1.3 Residuated mappings .................................... 6 1.4 Closures ................................................ 10 1.5 Isomorphisms of ordered sets .............................. 12 1.6 Galois connections ....................................... 14 1.7 Semigroups of residuated mappings ........................ 15 Lattices; lattice morphisms ................................ 19 2.1 Semilattices and lattices .................................. 19 2.2 Down-set lattices ........................................ 23 2.3 Sublattices ............................................. 26 2.4 Lattice morphisms ....................................... 28 2.5 Complete lattices ........................................ 29 2.6 Baer semigroups ......................................... 35 Regular equivalences ...................................... 39 3.1 Ordering quotient sets ................................... 39 3.2 Strongly upper regular equivalences ........................ 41 3.3 Lattice congruences ...................................... 45 Modular lattices ........................................... 49 4.1 Modular pairs; Dedekind s modularity criterion .............. 49 4.2 Chain conditions ........................................ 54 4.3 Join-irreducibles ......................................... 58 4.4 Baer semigroups and modularity .......................... 61 Distributive lattices ....................................... 65 5.1 Birkhoff s distributivity criterion .......................... 65 5.2 More on join-irreducibles ................................. 69 5.3 Prime ideals and filters ................................... 72 5.4 Baer semigroups and distributivity ........................ 74 6 Complementation; boolean algebras ....................... 77 6.1 Complemented elements .................................. 77 6.2 Uniquely complemented lattices ........................... 78 6.3 Boolean algebras and boolean rings ........................ 82 6.4 Boolean algebras of subsets ............................... 86 6.5 The Dedekind-MacNeille completion of a boolean algebra .... 90 6.6 Neutral and central elements .............................. 92 6.7 Stone s representation theorem ............................ 95 6.8 Baer semigroups and complementation ..................... 97 6.9 Generalisations of boolean algebras ........................101 7 Pseudocomplementation; Stone and Heyting algebras ......103 7.1 Pseudocomplements .....................................103 7.2 Stone algebras ..........................................106 7.3 Heyting algebras ........................................ Ill 7.4 Baer semigroups and residuation ..........................116 8 Congruences; subdirectly irreducible algebras ..............119 8.1 More on lattice congruences ..............................119 8.2 Congruence kernels ......................................121 8.3 Principal congruences ....................................126 8.4 Congruences on p-algebras ................................130 8.5 Congruences on Heyting algebras ..........................134 8.6 Subdirectly irreducible algebras ...........................137 9 Ordered groups ............................................143 9.1 Ordering groups .........................................143 9.2 Convex subgroups .......................................147 9.3 Lattice-ordered groups ...................................150 9.4 Absolute values and orthogonality .........................153 9.5 Convex ¿-subgroups .......................................158 9.6 Polars..................................................162 9.7 Coset ordering; prime subgroups ..........................164 9.8 Representable groups ....................................168 10 Archimedean ordered structures ...........................171 10.1 Totally ordered rings and fields ............................171 10.2 Archimedean ordered fields ...............................177 10.3 Archimedean totally ordered groups .......................188 11 Ordered semigroups; residuated semigroups ...............193 11.1 Ordered semigroups ......................................193 11.2 Residuated semigroups ...................................197 11.3 Molinaio equivalences ....................................204 12 Epimorphic group images; Dubreil-Jacotin semigroups .....207 12.1 Anticones ..............................................207 12.2 Dubreil-Jacotin semigroups ...............................212 12.3 Residuated Dubreil-Jacotin semigroups .....................217 13 Ordered regular semigroups ...............................225 13.1 Regular Dubreil-Jacotin semigroups ........................225 13.2 The Nambooripad order ..................................228 13.3 Natural orders on regular semigroups ......................232 13.4 Biggest inverses .........................................243 13.5 Principally ordered regular semigroups .....................251 13.6 Principally and naturally ordered semigroups ...............255 13.7 Ordered completely simple semigroups .....................258 14 Structure theorems ........................................265 14.1 Naturally ordered regular semigroups ......................265 14.1.1 Inverse transversals ................................265 14.1.2 Biggest idempotent ................................269 14.1.3 Biggest inverses ...................................269 14.2 Integral Dubreil-Jacotin inverse semigroups .................271 14.3 Orthodox Dubreil-Jacotin semigroups ......................274 14.3.1 The cartesian order ................................276 14.3.2 Unilateral lexicographic orders ......................282 14.3.3 Bootlace orders ...................................285 14.3.4 Lexicographic orders ...............................290 14.4 Lattices for which Res L is regular .........................291 References .....................................................293 Index ..........................................................299
any_adam_object	1
author	Blyth, Thomas S. 1938-
author_GND	(DE-588)115496076
author_facet	Blyth, Thomas S. 1938-
author_role	aut
author_sort	Blyth, Thomas S. 1938-
author_variant	t s b ts tsb
building	Verbundindex
bvnumber	BV019658730
callnumber-first	Q - Science
callnumber-label	QA172
callnumber-raw	QA172
callnumber-search	QA172
callnumber-sort	QA 3172
callnumber-subject	QA - Mathematics
classification_rvk	SK 160
classification_tum	MAT 068f
ctrlnum	(OCoLC)56386911 (DE-599)BVBBV019658730
dewey-full	511.3/3
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	511 - General principles of mathematics
dewey-raw	511.3/3
dewey-search	511.3/3
dewey-sort	3511.3 13
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01759nam a2200469zc 4500</leader><controlfield tag="001">BV019658730</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140513 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">050114s2005 xxu \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2004056612</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1852339055</subfield><subfield code="9">1-85233-905-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)56386911</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019658730</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-M347</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA172</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3/3</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 160</subfield><subfield code="0">(DE-625)143220:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 068f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Blyth, Thomas S.</subfield><subfield code="d">1938-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115496076</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lattices and ordered algebraic structures</subfield><subfield code="c">T. S. Blyth</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Springer</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 303 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Universitext</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Structures algébriques ordonnées</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Treillis, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">aOrdered algebraic structures</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">aLattice theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Verbandstheorie</subfield><subfield code="0">(DE-588)4127072-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geordnete algebraische Struktur</subfield><subfield code="0">(DE-588)4156743-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Verbandstheorie</subfield><subfield code="0">(DE-588)4127072-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Geordnete algebraische Struktur</subfield><subfield code="0">(DE-588)4156743-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Augsburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012987179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-012987179</subfield></datafield></record></collection>
id	DE-604.BV019658730
illustrated	Not Illustrated
indexdate	2024-12-20T12:02:52Z
institution	BVB
isbn	1852339055
language	English
lccn	2004056612
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-012987179
oclc_num	56386911
open_access_boolean
owner	DE-703 DE-824 DE-384 DE-91G DE-BY-TUM DE-11 DE-20 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-M347
owner_facet	DE-703 DE-824 DE-384 DE-91G DE-BY-TUM DE-11 DE-20 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-M347
physical	IX, 303 S.
publishDate	2005
publishDateSearch	2005
publishDateSort	2005
publisher	Springer
record_format	marc
series2	Universitext
spellingShingle	Blyth, Thomas S. 1938- Lattices and ordered algebraic structures Structures algébriques ordonnées Treillis, Théorie des aOrdered algebraic structures aLattice theory Verbandstheorie (DE-588)4127072-1 gnd Geordnete algebraische Struktur (DE-588)4156743-2 gnd
subject_GND	(DE-588)4127072-1 (DE-588)4156743-2
title	Lattices and ordered algebraic structures
title_auth	Lattices and ordered algebraic structures
title_exact_search	Lattices and ordered algebraic structures
title_full	Lattices and ordered algebraic structures T. S. Blyth
title_fullStr	Lattices and ordered algebraic structures T. S. Blyth
title_full_unstemmed	Lattices and ordered algebraic structures T. S. Blyth
title_short	Lattices and ordered algebraic structures
title_sort	lattices and ordered algebraic structures
topic	Structures algébriques ordonnées Treillis, Théorie des aOrdered algebraic structures aLattice theory Verbandstheorie (DE-588)4127072-1 gnd Geordnete algebraische Struktur (DE-588)4156743-2 gnd
topic_facet	Structures algébriques ordonnées Treillis, Théorie des aOrdered algebraic structures aLattice theory Verbandstheorie Geordnete algebraische Struktur
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012987179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT blyththomass latticesandorderedalgebraicstructures

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Mathematik & Informatik

Bestandsangaben von Teilbibliothek Mathematik & Informatik
Signatur:	0102 MAT 068f 2008 A 2521 Lageplan
Exemplar 1	Ausleihbar Am Standort