AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Separable algebroids
About this Title
Barry Mitchell
Publication: Memoirs of the American Mathematical Society
Publication Year:
1985; Volume 57, Number 333
ISBNs: 978-0-8218-2334-7 (print); 978-1-4704-0746-9 (online)
DOI: https://doi.org/10.1090/memo/0333
MathSciNet review: 804210
MSC: Primary 13A20; Secondary 16A16, 18E20
Table of Contents
Chapters
- Introduction
- 1. $k$-categories
- 2. Module categories
- 3. The amenable completion
- 4. $fg$ projectives
- 5. Products and coproducts in $\operatorname {alg} k$
- 6. The symbolic tensor product
- 7. The Morita theorems
- 8. The eight conditions on aigebroids
- 9. Tensoring the eight conditions
- 10. The elements of $B(k)$
- 11. Transitivity of separability
- 12. Simple ringoids
- 13. Semisimple ringoids
- 14. Separable aigebroids over a field
- 15. Some commutative algebra
- 16. An equivalence of categories
- 17. Separable categories
- 18. Rees matrix semigroups
- 19. Separable monoid algebras
- 20. Examples of separable categories
- 21. Diagonal categories
- 22. Fibrations by groups
- 23. Restrictive separability sets
- 24. $Q$-separable categories