Groups and model theory : a conference in honor of Rudiger Gobel's 70th birthday, May 30-June 3, 2011, Conference Center "Die Wolfsburg," Mulheim an der Ruhr, Germany / / Lutz Strungmann [and three others], editors

• Record Nr.: UNINA9910814068703321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• ISBN: 0-8218-9098-0
• Descrizione fisica: 1 online resource (336 p.)
• Collana: Contemporary mathematics, ; 576 , 0271-4132
• Disciplina: 512/.2
• Soggetti: Group theory; Model theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: About the conference -- A few words about Rudiger -- 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 -- Butler'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 Butler'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.