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The spectrum of a module category


About this Title

Henning Krause

Publication: Memoirs of the American Mathematical Society
Publication Year 2001: Volume 149, Number 707
ISBNs: 978-0-8218-2618-8 (print); 978-1-4704-0298-3 (online)
DOI: http://dx.doi.org/10.1090/memo/0707
MathSciNet review: 1803703
MSC: Primary 16D90; Secondary 14A22

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Table of Contents


Chapters

  • 0. Introduction
  • 1. The functor category
  • 2. Definable subcategories
  • 3. Left approximations
  • 4. Duality
  • 5. Ideals in the category of finitely presented modules
  • 6. Endofinite modules
  • 7. Krull-Gabriel dimension
  • 8. The infinite radical
  • 9. Functors between module categories
  • 10. Tame algebras
  • 11. Rings of definable scalars
  • 12. Reflective definable subcategories
  • 13. Sheaves
  • 14. Tame hereditary algebras
  • 15. Coherent rings