Abelian group theory : proceedings of the 2nd New Mexico State University Conference, held at Las Cruces, New Mexico, December 9-12, 1976

Bibliographic Information

Abelian group theory : proceedings of the 2nd New Mexico State University Conference, held at Las Cruces, New Mexico, December 9-12, 1976

edited by D. Arnold, R. Hunter, and E. Walker

(Lecture notes in mathematics, 616)

Springer-Verlag, 1977

  • : Berlin
  • : New York

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Note

Includes 2 papers in French

Includes bibliographical references

Description and Table of Contents

Table of Contents

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 kuros 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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