Abelian Group Theory [electronic resource] : Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9–12, 1976 /

The structure of mixed abelian groups -- Decomposition bases and Ulm’s theorem -- The structure of p-trees: Algebraic systems related to abelian groups -- A Guide to valuated groups -- Warfield modules -- Finite valuated groups -- Criteria for freeness in groups and valuated vector spaces -- Subfree valued vector spaces -- On classifying torsion free modules over discrete valuation rings -- A sheaf - Theoretic interpretation of the kuroš theorem -- Genera and direct sum decompositions of torsion free modules -- Quasi-pure-injectivity and quasi-pure projectivity -- Sur les groupes quasi-p-nets injectifs et projectifs -- Whitehead’s problem -- Methods of logic in abelian group theory -- Abelian structures I -- The number of ? — Free abelian groups and the size of Ext -- The Jacobson radical of some endomorphism rings -- Ulm valuations and co-valuations on torsion-complete p-groups -- A result on problem 87 of L. Fuchs -- Local-quasi-endomorphism rings of rank one mixed abelian groups -- Homological dimension and abelian groups -- A galois correspondence in abelian groups -- A different completion functor -- Analogues of the Stacked Bases Theorem -- Commutative rings whose finitely generated modules are direct sums of cyclics.

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Bibliographic Details
Main Authors: Arnold, David M. editor., Hunter, Roger H. editor., Walker, Elbert A. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1977
Subjects:Mathematics., Group theory., Group Theory and Generalizations.,
Online Access:http://dx.doi.org/10.1007/BFb0068186
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Summary:The structure of mixed abelian groups -- Decomposition bases and Ulm’s theorem -- The structure of p-trees: Algebraic systems related to abelian groups -- A Guide to valuated groups -- Warfield modules -- Finite valuated groups -- Criteria for freeness in groups and valuated vector spaces -- Subfree valued vector spaces -- On classifying torsion free modules over discrete valuation rings -- A sheaf - Theoretic interpretation of the kuroš theorem -- Genera and direct sum decompositions of torsion free modules -- Quasi-pure-injectivity and quasi-pure projectivity -- Sur les groupes quasi-p-nets injectifs et projectifs -- Whitehead’s problem -- Methods of logic in abelian group theory -- Abelian structures I -- The number of ? — Free abelian groups and the size of Ext -- The Jacobson radical of some endomorphism rings -- Ulm valuations and co-valuations on torsion-complete p-groups -- A result on problem 87 of L. Fuchs -- Local-quasi-endomorphism rings of rank one mixed abelian groups -- Homological dimension and abelian groups -- A galois correspondence in abelian groups -- A different completion functor -- Analogues of the Stacked Bases Theorem -- Commutative rings whose finitely generated modules are direct sums of cyclics.