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Modules with Cores and Amalgamations of Indecomposable Modules.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1977Copyright date: ©1977Edition: 1st edDescription: 1 online resource (156 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470400538
Subject(s): Genre/Form: Additional physical formats: Print version:: Modules with Cores and Amalgamations of Indecomposable ModulesDDC classification:
  • 510/.8 s;512/.4
LOC classification:
  • QA251.5 -- .G67 1977eb
Online resources:
Contents:
Intro -- Table of Contents -- Introduction -- 1. Cores, basic modules, and basic submodules -- 2. Basic maps -- 3. Cocores and cobasic modules and maps -- 4. Waists and pasting -- 5. Amalgamation -- 6. Modules of finite length -- 7. Artin rings -- 8. Construction of coreless indecomposable modules -- 9. Radical squared zero -- 10. Almost split sequences -- 11. Pasting and cores -- 12. Iterated amalgamations -- 13. Classification of modules with cores -- 14. Quivers -- 15. Classification of rings such that indecomposable modules have cores -- Appendix: Diagrams and finite dimensional algebras -- A. k-species and special tensor algebras -- B. Representations of k-species and separated quivers -- C. k-species of finite and tame representation type -- D. Proofs, generalizations, and further applications -- E. The work of W. Müller -- References.
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Intro -- Table of Contents -- Introduction -- 1. Cores, basic modules, and basic submodules -- 2. Basic maps -- 3. Cocores and cobasic modules and maps -- 4. Waists and pasting -- 5. Amalgamation -- 6. Modules of finite length -- 7. Artin rings -- 8. Construction of coreless indecomposable modules -- 9. Radical squared zero -- 10. Almost split sequences -- 11. Pasting and cores -- 12. Iterated amalgamations -- 13. Classification of modules with cores -- 14. Quivers -- 15. Classification of rings such that indecomposable modules have cores -- Appendix: Diagrams and finite dimensional algebras -- A. k-species and special tensor algebras -- B. Representations of k-species and separated quivers -- C. k-species of finite and tame representation type -- D. Proofs, generalizations, and further applications -- E. The work of W. Müller -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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