Abelian Group Theory

Inhaltsverzeichnis

• 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.