Abelian Group Theory
Abelian Group Theory Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9–12, 1976 / [electronic resource] :
edited by David M. Arnold, Roger H. Hunter, Elbert A. Walker.
- XII, 424 p. online resource.
- Lecture Notes in Mathematics, 616 0075-8434 ; .
- Lecture Notes in Mathematics, 616 .
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.
9783540370697
10.1007/BFb0068186 doi
Group theory.
Group Theory and Generalizations.
QA174-183
512.2
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.
9783540370697
10.1007/BFb0068186 doi
Group theory.
Group Theory and Generalizations.
QA174-183
512.2