Abelian Group Theory

Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9–12, 1976

Editors:

ISBN: 978-3-540-08447-1 (Print) 978-3-540-37069-7 (Online)

Table of contents (26 chapters)

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  1. No Access

    Book Chapter

    Pages 1-38

    The structure of mixed abelian groups

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    Pages 39-56

    Decomposition bases and Ulm’s theorem

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    Book Chapter

    Pages 57-72

    The structure of p-trees: Algebraic systems related to abelian groups

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    Book Chapter

    Pages 73-86

    A Guide to valuated groups

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    Pages 87-123

    Warfield modules

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    Pages 124-139

    Finite valuated groups

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    Pages 140-157

    Criteria for freeness in groups and valuated vector spaces

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    Book Chapter

    Pages 158-167

    Subfree valued vector spaces

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    Pages 168-172

    On classifying torsion free modules over discrete valuation rings

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    Pages 173-196

    A sheaf - Theoretic interpretation of the kuroš theorem

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    Pages 197-218

    Genera and direct sum decompositions of torsion free modules

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    Pages 219-227

    Quasi-pure-injectivity and quasi-pure projectivity

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    Pages 228-239

    Sur les groupes quasi-p-nets injectifs et projectifs

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    Pages 240-250

    Whitehead’s problem

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    Pages 251-269

    Methods of logic in abelian group theory

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    Book Chapter

    Pages 270-322

    Abelian structures I

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    Pages 323-331

    The number of κ — Free abelian groups and the size of Ext

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    Pages 332-336

    The Jacobson radical of some endomorphism rings

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    Pages 337-353

    Ulm valuations and co-valuations on torsion-complete p-groups

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    Book Chapter

    Pages 354-367

    A result on problem 87 of L. Fuchs

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