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Algebraic theories : a categorical introduction to general algebra /
"Algebraic theories, introduced as a concept in the 1960s, have been a fundamental step towards a categorical view of general algebra. Moreover, they have proved very useful in various areas of mathematics and computer science. This carefully developed book gives a systematic introduction to al...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2011.
|
| Colección: | Cambridge tracts in mathematics ;
184. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Foreword / F.W. Lawvere
- Abstract algebraic categories. Preliminaries
- Algebraic theories and algebraic categories
- Sifted and filtered colimits
- Reflexive coequalizers
- Algebraic categories as free completions
- Properties of algebras
- A characterization of algebraic categories
- From filtered to sifted
- Canonical theories
- Algebraic functors
- Birkhoff's variety theorem
- Concrete algebraic categories. One-sorted algebraic categories
- Algebras for an endofunctor
- Equational categories of [SIGMA]-algebras
- S-sorted algebraic categories
- Selected topics. Morita equivalence
- Free exact categories
- Exact completion and reflexive-coequalizer completion
- Finitary localizations of algebraic categories. Monads
- Abelian categories
- More about dualities for one-sorted algebraic categories.