Format:
Online-Ressource (XII, 424 p, online resource)
ISBN:
9783540370697
,
9783540084471
Series Statement:
Lecture Notes in Mathematics 616
Content:
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.
Additional Edition:
ISBN 9783540084471
Additional Edition:
Erscheint auch als Druck-Ausgabe Abelian group theory Berlin : Springer, 1977 ISBN 3540084479
Additional Edition:
ISBN 0387084479
Language:
English
Subjects:
Mathematics
Keywords:
Abelsche Gruppe
;
Abelsche Gruppe
;
Konferenzschrift
URL:
Volltext
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URL:
Volltext
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