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Preface | |
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Symbols | |
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General Results on Endomorphism Rings | |
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Rings, Modules, and Categories | |
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Abelian Groups | |
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Examples and Some Properties of Endomorphism Rings | |
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Torsion-Free Rings of Finite Rank | |
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Quasi-Endomorphism Rings of Torsion-Free Groups | |
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E-Modules and E-Rings | |
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Torsion-Free Groups Coinciding with Their Pseudo-Socles | |
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Irreducible Torsion-Free Groups | |
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Groups as Modules over Their Endomorphism Rings | |
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Endo-Artinian and Endo-Noetherian Groups | |
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Endo-Flat Primary Groups | |
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Endo-Finite Torsion-Free Groups of Finite Rank | |
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Endo-Projective and Endo-Generator Torsion-Free Groups of Finite Rank | |
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Endo-Flat Torsion-Free Groups of Finite Rank | |
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Ring Properties of Endomorphism Rings | |
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The Finite Topology | |
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Endomorphism Rings with the Minimum Condition | |
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Hom(A, B) as a Noetherian Module over End(B) | |
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Mixed Groups with Noetherian Endomorphism Rings | |
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Regular Endomorphism Rings | |
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Commutative and Local Endomorphism Rings | |
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The Jacobson Radical of the Endomorphism Ring | |
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The Case of p-groups | |
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The Radical of the Endomorphism Ring of a Torsion-Free Group of Finite Rank | |
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The Radical of the Endomorphism Ring of Algebraically Compact and Completely Decomposable Torsion-Free Groups | |
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The Nilpotence of the Radicals N (End(G)) and J (End(G)) | |
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Isomorphism and Realization Theorems | |
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The Baer-Kaplansky Theorem | |
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Continuous and Discrete Isomorphisms of Endomorphism Rings | |
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Endomorphism Rings of Groups with Large Divisible Subgroups | |
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Endomorphism Rings of Mixed Groups of Torsion-Free Rank 1 | |
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The Corner Theorem on Split Realization | |
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Realizations for Endomorphism Rings of Torsion-Free Groups | |
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The Realization Problem for Endomorphism Rings of Mixed Groups | |
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Hereditary Endomorphism Rings | |
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Self-Small Groups | |
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Categories of Groups and Modules over Endomorphism Rings | |
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Faithful Groups | |
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Faithful Endo-Flat Groups | |
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Groups with Right Hereditary Endomorphism Rings | |
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Groups of Generalized Rank 1 | |
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Torsion-Free Groups with Hereditary Endomorphism Rings | |
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Maximal Orders as Endomorphism Rings | |
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p-Semisimple Groups | |
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Fully Transitive Groups | |
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Homogeneous Fully Transitive Groups | |
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Groups whose Quasi-Endomorphism Rings are Division Rings | |
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Fully Transitive Groups Coinciding with Their Pseudo-Socles | |
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Fully Transitive Groups with Restrictions on Element Types | |
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Torsion-Free Groups of p-Ranks [less than or equal] 1 | |
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References | |
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Index | |