ENGLISH

Algebraic theories: a categorical introduction to general algebra

By Jiri , Adámek , Jiří; Vitale , Enrico M.; Lawvere , Francis W.; Rosický

Book information

Publisher
Cambridge University Press
Year
2011
ISBN
9780511760754, 0511760752, 978-0-521-11922-1, 0521119227, 9786612966972, 6612966971
Language
english
Format
PDF
Filesize
1 MB (1159519 bytes)
Series
Cambridge tracts in mathematics 184
Edition
Online-ausg.
Pages
249\268
Topic
Mathematics Algebra
Library
kolxo3
Time added
2019-04-25 18:00:00
Algebraic logic.;Categories (Mathematics);Allgemei

Description

Content: 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.

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