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Algebraic Theories

J. Adámek, J. Rosický, and E. M. Vitale
Publisher: 
Cambridge University Press
Publication Date: 
2011
Number of Pages: 
249
Format: 
Hardcover
Series: 
Cambridge Tracts in Mathematics 184
Price: 
80.00
ISBN: 
9780521119221
Category: 
Monograph
We do not plan to review this book.

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 Σ-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.

Dummy View - NOT TO BE DELETED