TY - BOOK AU - Gordon,R. AU - Green,E.L. TI - Modules with Cores and Amalgamations of Indecomposable Modules T2 - Memoirs of the American Mathematical Society SN - 9781470400538 AV - QA251.5 -- .G67 1977eb U1 - 510/.8 s;512/.4 PY - 1977/// CY - Providence PB - American Mathematical Society KW - Artin rings KW - Modules (Algebra) KW - Indecomposable modules KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113730 ER -