Algebraic theories a categorical introduction to general algebra
Machine generated contents note: Foreword F. W. Lawvere; Introduction; Preliminaries; Part I. Abstract Algebraic Categories: 1. Algebraic theories and algebraic categories; 2. Sifted and filtered colimits; 3. Reflexive coequalizers; 4. Algebraic categories as free completions; 5. Properties of algeb...
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| Weitere Verfasser: | , |
| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Cambridge u.a.
Cambridge Univ. Press
2011
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| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge tracts in mathematics
184 |
| Schlagworte: | |
| Online Zugang: | Cover Inhaltsverzeichnis Inhaltstext |
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| Zusammenfassung: | Machine generated contents note: Foreword F. W. Lawvere; Introduction; Preliminaries; Part I. Abstract Algebraic Categories: 1. Algebraic theories and algebraic categories; 2. Sifted and filtered colimits; 3. Reflexive coequalizers; 4. Algebraic categories as free completions; 5. Properties of algebras; 6. A characterization of algebraic categories; 7. From filtered to sifted; 8. Canonical theories; 9. Algebraic functors; 10. Birkhoff's variety theorem; Part II. Concrete Algebraic Categories: 11. One-sorted algebraic categories; 12. Algebras for an endofunctor; 13. Equational categories of [SIGMA]-algebras; 14. S-sorted algebraic categories; Part III. Selected Topics: 15. Morita equivalence; 16. Free exact categories; 17. Exact completion and reflexive-coequalizer completion; 18. Finitary localizations of algebraic categories; A. Monads; B. Abelian categories; C. More about dualities for one-sorted algebraic categories; Summary; Bibliography; Index. |
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| Beschreibung: | Literaturverz. S. 241 - 244 |
| Beschreibung: | XVII, 249 S. graph. Darst. |
| ISBN: | 0521119227 0-521-11922-7 9780521119221 978-0-521-11922-1 |