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TitleAbelian Group Theory [electronic resource] : Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9-12, 1976 / edited by David M. Arnold, Roger H. Hunter, Elbert A. Walker
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1977
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Descript XII, 424 p. online resource


The structure of mixed abelian groups -- Decomposition bases and Ulmโ{128}{153}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 kuroลก 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 -- Whiteheadโ{128}{153}s problem -- Methods of logic in abelian group theory -- Abelian structures I -- The number of ? โ{128}{148} 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

Mathematics Group theory Mathematics Group Theory and Generalizations


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