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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

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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