Modules with Cores and Amalgamations of Indecomposable Modules.
Gordon, R.
Modules with Cores and Amalgamations of Indecomposable Modules. - 1st ed. - 1 online resource (156 pages) - Memoirs of the American Mathematical Society ; v.10 . - Memoirs of the American Mathematical Society .
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.
9781470400538
Artin rings.
Modules (Algebra).
Indecomposable modules.
Electronic books.
QA251.5 -- .G67 1977eb
510/.8 s;512/.4
Modules with Cores and Amalgamations of Indecomposable Modules. - 1st ed. - 1 online resource (156 pages) - Memoirs of the American Mathematical Society ; v.10 . - Memoirs of the American Mathematical Society .
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.
9781470400538
Artin rings.
Modules (Algebra).
Indecomposable modules.
Electronic books.
QA251.5 -- .G67 1977eb
510/.8 s;512/.4