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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: https://doi.org/10.1090/memo/0707
MathSciNet review: 1803703
MSC: Primary 16D90; Secondary 14A22
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