Groups, Modules, and Model Theory - Surveys and Recent Developments

Table of Contents

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   Book Overview
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   Chapter 1 Properties of Abelian Groups Determined by Their Endomorphism Ring
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   Chapter 2 The Zero-Divisor Graph of a Commutative Semigroup: A Survey
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   Chapter 3 A Remak-Krull-Schmidt Class of Torsion-Free Abelian Groups
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   Chapter 4 Rigid ℵ1-Free Abelian Groups with Prescribed Factors and Their Role in the Theory of Cellular Covers
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   Chapter 5 Definable Valuations Induced by Definable Subgroups
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   Chapter 6 Groups of Automorphisms of Totally Ordered Sets: Techniques, Model Theory and Applications to Decision Problems
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   Chapter 7 Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey
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   Chapter 8 On Subsets and Subgroups Defined by Commutators and Some Related Questions
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    Chapter 9 Recent Progress in Module Approximations
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    Chapter 10 A Class of Pure Subgroups of the Specker Group
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    Chapter 11 Countable 1-Transitive Trees
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    Chapter 12 On Ore’s Theorem and Universal Words for Permutations and Injections of Infinite Sets
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    Chapter 13 An Extension of M. C. R. Butler’s Theorem on Endomorphism Rings
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    Chapter 14 The Jacobson Radical’s Role in Isomorphism Theorems for p-Adic Modules Extends to Topological Isomorphism
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    Chapter 15 A Note on Hieronymi’s Theorem: Every Definably Complete Structure Is Definably Baire
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    Chapter 16 Cotorsion and Tor Pairs and Finitistic Dimensions over Commutative Rings
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    Chapter 17 Permutation Groups Without Irreducible Elements
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    Chapter 18 R-Hopfian and L-co-Hopfian Abelian Groups (with an Appendix by A.L.S. Corner on Near Automorphisms of an Abelian Group)
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    Chapter 19 On the Abelianization of Certain Topologist’s Products
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    Chapter 20 Some Remarks on dp-Minimal Groups
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    Chapter 21 Square Subgroups of Decomposable Rank Three Groups
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    Chapter 22 An Invariant on Primary Abelian Groups with Applications to Their Projective Dimensions
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    Chapter 23 The Valuation Difference Rank of a Quasi-Ordered Difference Field
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    Chapter 24 The Lattice of U-Sequences of an Abelian p-Group
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    Chapter 25 Strongly Non-Singular Rings and Morita Equivalence
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    Chapter 26 The Class of (2, 3)-Groups with Homocyclic Regulator Quotient of Exponent p 2
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    Chapter 27 Unbounded Monotone Subgroups of the Baer–Specker Group
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    Chapter 28 Clusterization of Correlation Functions