Algebraic theories: a categorical introduction to general algebra
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
|
| Edition: | 1. publ. |
| Series: | Cambridge tracts in mathematics
184 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 249 S. graph. Darst. |
| ISBN: | 9780521119221 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV036614300 | ||
| 003 | DE-604 | ||
| 005 | 20120910 | ||
| 007 | t | ||
| 008 | 100812s2011 d||| |||| 00||| eng d | ||
| 020 | |a 9780521119221 |9 978-0-521-11922-1 | ||
| 035 | |a (OCoLC)698535983 | ||
| 035 | |a (DE-599)BVBBV036614300 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-11 |a DE-19 |a DE-824 | ||
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 100 | 1 | |a Adámek, Jiří |d 1947- |e Verfasser |0 (DE-588)113295219 |4 aut | |
| 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 | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics |v 184 | |
| 650 | 0 | 7 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Allgemeine Algebra |0 (DE-588)4567805-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Sigma-Algebra |0 (DE-588)4181252-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |D s |
| 689 | 0 | 1 | |a Allgemeine Algebra |0 (DE-588)4567805-4 |D s |
| 689 | 0 | 2 | |a Sigma-Algebra |0 (DE-588)4181252-9 |D s |
| 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 |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020534485 | ||
Record in the Search Index
| _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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01839nam a2200421 cb4500</leader><controlfield tag="001">BV036614300</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120910 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">100812s2011 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521119221</subfield><subfield code="9">978-0-521-11922-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)698535983</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV036614300</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-824</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Adámek, Jiří</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113295219</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebraic theories</subfield><subfield code="b">a categorical introduction to general algebra</subfield><subfield code="c">J. Adámek ; J. Rosický ; E. M. Vitale</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVII, 249 S.</subfield><subfield code="b">graph. Darst.</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="1" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">184</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kategorie</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4129930-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Allgemeine Algebra</subfield><subfield code="0">(DE-588)4567805-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Sigma-Algebra</subfield><subfield code="0">(DE-588)4181252-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kategorie</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4129930-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Allgemeine Algebra</subfield><subfield code="0">(DE-588)4567805-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Sigma-Algebra</subfield><subfield code="0">(DE-588)4181252-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rosický, Jiří</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)136237118</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vitale, Enrico M.</subfield><subfield code="d">1964-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)143009931</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">184</subfield><subfield code="w">(DE-604)BV000000001</subfield><subfield code="9">184</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</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=020534485&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-020534485</subfield></datafield></record></collection> |
| id | DE-604.BV036614300 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:44:13Z |
| institution | BVB |
| isbn | 9780521119221 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020534485 |
| oclc_num | 698535983 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 DE-19 DE-BY-UBM DE-824 |
| owner_facet | DE-355 DE-BY-UBR DE-11 DE-19 DE-BY-UBM DE-824 |
| physical | XVII, 249 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT adamekjiri algebraictheoriesacategoricalintroductiontogeneralalgebra AT rosickyjiri algebraictheoriesacategoricalintroductiontogeneralalgebra AT vitaleenricom algebraictheoriesacategoricalintroductiontogeneralalgebra |