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Groups and model theory : in honor of Rüdiger Göbel's 70th birthday, May 30-June 3, 2011, Conference Center "Die Wolfsburg," Mülheim an der Ruhr, Germany /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Göbel, R. (Rüdiger), 1940-, Strungmann, Lutz, 1971-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2012.
Colección:Contemporary mathematics (American Mathematical Society) ; v. 576.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""About the conference""; ""A few words about R""udiger""; ""Chapter 1. ""; ""Functorial properties of Hom and Ext""; ""1. Introduction""; ""2. Functors Acting on Sums and Products""; ""3. Hom and Ext""; ""4.-small groups""; ""5.-extendible groups""; ""References""; ""Rigid abelian groups and the probabilistic method""; ""1. Introduction""; ""2. The probabilistic method: A brief introduction""; ""3. Groups via -adic numbers""; ""4. Small-rank groups""; ""5. Concluding remarks and open questions""; ""6. Acknowledgments""; ""References""
  • ""On projection-invariant subgroups of Abelian -groups""""1. Introduction""; ""2. Direct Powers""; ""References""; ""Looking for indecomposable right bounded complexes""; ""Introduction""; ""1. Preliminaries""; ""2. Examples""; ""References""; ""Butlerâ€?s theorem revisited""; ""Introduction""; ""1. Notation and basic settings""; ""2. Regularity""; ""3. Previous results""; ""4. The (1) case""; ""5. The (2) case""; ""6. The general case""; ""7. The concrete solution""; ""8. Cancelling Primes""; ""9. Realizing the converse of Butlerâ€?s Theorem""; ""References""
  • ""The role of the Jacobson radical in isomorphism theorems""""1. Introduction""; ""2. Preliminaries""; ""3. Determining the Torsion""; ""4. Rank One Mixed Modules""; ""5. Warfield Modules""; ""References""; ""Dimension in topological structures: Topological closure and local property""; ""1. Introduction""; ""2. Closure""; ""3. Local property""; ""4. Some examples""; ""References""; ""On kernel modules of cotorsion pairs""; ""1. Introduction""; ""2. Modules in the kernel""; ""3. Applications to almost perfect domains""; ""4. Weak-injective envelopes""; ""5. Flat covers""; ""References""
  • ""Absolutely rigid fields and Shelahâ€?s absolutely rigid trees""""1. Introduction""; ""2. Absolutely rigid fields""; ""3. Absolutely rigid trees""; ""References""; ""A note on Hopfian and co-Hopfian abelian groups""; ""1. Introduction""; ""2. Lifting Hopficity (co-Hopficity) from Subgroups""; ""3. Mixed groups""; ""References""; ""Upper cardinal bounds for absolute structures""; ""1. Introduction""; ""2. Partition Principles""; ""3. The ErdÃœs Cardinal () and Trees""; ""4. Constructing Absolutely Rigid Families of Trees""; ""5. Nash-Williams Theory of Coloured Trees""
  • ""6. Countable groups with large endomorphism rings""""References""; ""Undefinability of local Warfield groups in _{â?ž }""; ""1. Introduction""; ""2. Background""; ""3. Definability""; ""4. Undefinability""; ""5. Conclusions""; ""References""; ""Abelian groups with partial decomposition bases in _{â?ž }^{ }, Part I""; ""1. Introduction""; ""2. Notations and terminology""; ""3. Model-theoretic preliminaries""; ""4. Equivalence in _{â?ž }""; ""5. Equivalence in ^{ }_{â?ž }: Local classification""; ""6. Equivalence in ^{ }_{â?ž }: Global classification""; ""References""