Format:
XVII, 249 S.
,
graph. Darst.
Edition:
1. publ.
ISBN:
0521119227
,
9780521119221
Series Statement:
Cambridge tracts in mathematics 184
Content:
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.
Note:
Literaturverz. S. 241 - 244
Additional Edition:
Erscheint auch als Online-Ausgabe Adámek, Jiří Algebraic theories Cambridge : Cambridge University Press, 2011 ISBN 9780511760754
Language:
English
Subjects:
Mathematics
Keywords:
Kategorie
;
Allgemeine Algebra
;
Sigma-Algebra
;
Lehrbuch
