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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: http://dx.doi.org/10.1090/memo/0333
MathSciNet review: 804210
MSC (1991): Primary 13A20; Secondary 16A16, 18E20

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Table of Contents


Chapters

  • Introduction
  • 1. -categories
  • 2. Module categories
  • 3. The amenable completion
  • 4. projectives
  • 5. Products and coproducts in
  • 6. The symbolic tensor product
  • 7. The Morita theorems
  • 8. The eight conditions on aigebroids
  • 9. Tensoring the eight conditions
  • 10. The elements of
  • 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. -separable categories