Algebraic Theories - A Categorical Introduction to General Algebra

Informationen zum Autor J. Adámek is a Professor in the Institute of Theoretical Computer Science at the University of Technology, Braunschweig, Germany. Inhaltsverzeichnis 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 ¿-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.

Product details

• Authors: J Adamek, J. Adamek, Jiri Adamek, Jiri Rosicky Adamek, J. Rosicky, E. M. Vitale
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 18.11.2010
• EAN: 9780521119221
• ISBN: 978-0-521-11922-1
• No. of pages: 268
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles