Abelian Group Theory

Inhaltsverzeichnis

Reinhold Baer's work on abelian groups.- Pure subgroups of finite rank completely decomposable groups.- On special balanced supgroups of torsionfree separable abelian groups.- Abelian groups finitely generated over their endomorphism rings.- Relations between hom, ext, and tensor product for certain categories of modules over dedekind domains.- On direct decompositions of torsion free abelian groups of rank 4.- Hyper-indecomposable groups.- On a paper of I.fleischer.- Weak compactness and the structure of Ext(A,?).- On the p-ranks of Ext(A, G), assuming CH.- A cardinal-determined projectivity condition for abelian groups and modules.- ?1-Separable groups of mixed type.- p?-Basic subgroups of torsion free abelian groups.- A new class of subgroups of ??oZ.- Groups of integer-valuated functions.- Iterated direct sums and products of modules.- A general theory of slender groups and fuchs-44-groups.- Homomorphisms between cartesian powers of an abelian group.- Algebraic compactness of filter quotients.- Cotorsion modules over Noetherian hereditary rings.- Basic concepts of functorial topologies.- Automorphism groups of locally compact abelian groups.- Zur Kennzeichnung Von Elationen.- Extensions of isomorphisms between subgroups.- The duals of totally projective groups.- Isotype subgroups of totally projective groups.- Classification theory of abelian groups, II: Local theory.- Valuated p-groups.- Mixed local groups.- Nice subgroups of valuated groups.- Diagrams over ordered sets: A simple model of abelian group theory.- Kawada's theorem.
Band 874

Abelian Group Theory

Proceedings of the Oberwolfach Conference, January 12-17, 1981

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Abelian Group Theory

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Details

Einband

Taschenbuch

Erscheinungsdatum

01.07.1981

Herausgeber

R. Göbel + weitere

Verlag

Springer Berlin

Seitenzahl

447

Details

Einband

Taschenbuch

Erscheinungsdatum

01.07.1981

Herausgeber

Verlag

Springer Berlin

Seitenzahl

447

Maße (L/B/H)

23,5/15,5/2,6 cm

Gewicht

709 g

Auflage

1981

Sprache

Deutsch, Englisch

ISBN

978-3-540-10855-9

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  • Abelian Group Theory
  • Reinhold Baer's work on abelian groups.- Pure subgroups of finite rank completely decomposable groups.- On special balanced supgroups of torsionfree separable abelian groups.- Abelian groups finitely generated over their endomorphism rings.- Relations between hom, ext, and tensor product for certain categories of modules over dedekind domains.- On direct decompositions of torsion free abelian groups of rank 4.- Hyper-indecomposable groups.- On a paper of I.fleischer.- Weak compactness and the structure of Ext(A,?).- On the p-ranks of Ext(A, G), assuming CH.- A cardinal-determined projectivity condition for abelian groups and modules.- ?1-Separable groups of mixed type.- p?-Basic subgroups of torsion free abelian groups.- A new class of subgroups of ??oZ.- Groups of integer-valuated functions.- Iterated direct sums and products of modules.- A general theory of slender groups and fuchs-44-groups.- Homomorphisms between cartesian powers of an abelian group.- Algebraic compactness of filter quotients.- Cotorsion modules over Noetherian hereditary rings.- Basic concepts of functorial topologies.- Automorphism groups of locally compact abelian groups.- Zur Kennzeichnung Von Elationen.- Extensions of isomorphisms between subgroups.- The duals of totally projective groups.- Isotype subgroups of totally projective groups.- Classification theory of abelian groups, II: Local theory.- Valuated p-groups.- Mixed local groups.- Nice subgroups of valuated groups.- Diagrams over ordered sets: A simple model of abelian group theory.- Kawada's theorem.