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Algebraic theories: a categorical introduction to general algebra

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Bibliographic Details
Main Authors:	Adámek, Jiří 1947- (Author), Rosický, Jiří 1946- (Author), Vitale, Enrico M. 1964- (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2011
Edition:	1. publ.
Series:	Cambridge tracts in mathematics 184
Subjects:	Kategorie > Mathematik Allgemeine Algebra Sigma-Algebra
Links:	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
Physical Description:	XVII, 249 S. graph. Darst.
ISBN:	9780521119221

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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
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isbn	9780521119221
language	English
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physical	XVII, 249 S. graph. Darst.
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publisher	Cambridge Univ. Press
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series	Cambridge tracts in mathematics
series2	Cambridge tracts in mathematics
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

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