Algebraic theories: a categorical introduction to general algebra
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge tracts in mathematics
184 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 249 S. graph. Darst. |
| ISBN: | 9780521119221 |
Internformat
MARC
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| 245 | 1 | 0 | |a Algebraic theories |b a categorical introduction to general algebra |c J. Adámek ; J. Rosický ; E. M. Vitale |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2011 | |
| 300 | |a XVII, 249 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Rosický, Jiří |d 1946- |e Verfasser |0 (DE-588)136237118 |4 aut | |
| 700 | 1 | |a Vitale, Enrico M. |d 1964- |e Verfasser |0 (DE-588)143009931 |4 aut | |
| 830 | 0 | |a Cambridge tracts in mathematics |v 184 |w (DE-604)BV000000001 |9 184 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020534485&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804143221211660288 |
|---|---|
| adam_text | Contents
Foreword page
ix
F.
W.
Lawvere
Preface
xv
PART I: ABSTRACT ALGEBRAIC CATEGORIES
0
Preliminaries
3
1
Algebraic theories and algebraic categories
10
2
Sifted and filtered colimits
21
3
Reflexive coequalizers
30
4
Algebraic categories as free completions
38
5
Properties of algebras
46
6
A characterization of algebraic categories
54
7
From filtered to sifted
65
8
Canonical theories
74
9
Algebraic functors
80
10
Birkhoff s variety theorem
89
PART II: CONCRETE ALGEBRAIC CATEGORIES
11
One-sorted algebraic categories
103
12
Algebras for an endofunctor
117
VII
viii Contents
13
Equational
categories
of
Σ
-algebras
127
14
S-sorted algebraic categories
139
PART III: SPECIAL TOPICS
15
Morita equivalence
153
16
Free exact categories
163
17
Exact completion and reflexive-coequalizer completion
182
18
Finitary localizations of algebraic categories
195
Postscript
204
Appendix A Monads
207
Appendix
В
Abelian categories
227
Appendix
С
More about dualities for one-sorted algebraic
categories
232
References
241
List of symbols
245
Index
247
|
| any_adam_object | 1 |
| author | Adámek, Jiří 1947- Rosický, Jiří 1946- Vitale, Enrico M. 1964- |
| author_GND | (DE-588)113295219 (DE-588)136237118 (DE-588)143009931 |
| author_facet | Adámek, Jiří 1947- Rosický, Jiří 1946- Vitale, Enrico M. 1964- |
| author_role | aut aut aut |
| author_sort | Adámek, Jiří 1947- |
| author_variant | j a ja j r jr e m v em emv |
| building | Verbundindex |
| bvnumber | BV036614300 |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)698535983 (DE-599)BVBBV036614300 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV036614300 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:44:13Z |
| institution | BVB |
| isbn | 9780521119221 |
| language | English |
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| physical | XVII, 249 S. graph. Darst. |
| publishDate | 2011 |
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| publisher | Cambridge Univ. Press |
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| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Adámek, Jiří 1947- Verfasser (DE-588)113295219 aut Algebraic theories a categorical introduction to general algebra J. Adámek ; J. Rosický ; E. M. Vitale 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2011 XVII, 249 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 184 Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Allgemeine Algebra (DE-588)4567805-4 gnd rswk-swf Sigma-Algebra (DE-588)4181252-9 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 s Allgemeine Algebra (DE-588)4567805-4 s Sigma-Algebra (DE-588)4181252-9 s DE-604 Rosický, Jiří 1946- Verfasser (DE-588)136237118 aut Vitale, Enrico M. 1964- Verfasser (DE-588)143009931 aut Cambridge tracts in mathematics 184 (DE-604)BV000000001 184 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020534485&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adámek, Jiří 1947- Rosický, Jiří 1946- Vitale, Enrico M. 1964- Algebraic theories a categorical introduction to general algebra Cambridge tracts in mathematics Kategorie Mathematik (DE-588)4129930-9 gnd Allgemeine Algebra (DE-588)4567805-4 gnd Sigma-Algebra (DE-588)4181252-9 gnd |
| subject_GND | (DE-588)4129930-9 (DE-588)4567805-4 (DE-588)4181252-9 |
| title | Algebraic theories a categorical introduction to general algebra |
| title_auth | Algebraic theories a categorical introduction to general algebra |
| title_exact_search | Algebraic theories a categorical introduction to general algebra |
| title_full | Algebraic theories a categorical introduction to general algebra J. Adámek ; J. Rosický ; E. M. Vitale |
| title_fullStr | Algebraic theories a categorical introduction to general algebra J. Adámek ; J. Rosický ; E. M. Vitale |
| title_full_unstemmed | Algebraic theories a categorical introduction to general algebra J. Adámek ; J. Rosický ; E. M. Vitale |
| title_short | Algebraic theories |
| title_sort | algebraic theories a categorical introduction to general algebra |
| title_sub | a categorical introduction to general algebra |
| topic | Kategorie Mathematik (DE-588)4129930-9 gnd Allgemeine Algebra (DE-588)4567805-4 gnd Sigma-Algebra (DE-588)4181252-9 gnd |
| topic_facet | Kategorie Mathematik Allgemeine Algebra Sigma-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020534485&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000001 |
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