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

[目次]

  • 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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この本の情報

書名 Abelian group theory : proceedings of the 2nd New Mexico State University Conference, held at Las Cruces, New Mexico, December 9-12, 1976
著作者等 Arnold, David M.
Hunter, Roger H.
New Mexico State University
Walker, E.
Hunter R.
Walker E.
Arnold D.
シリーズ名 Lecture notes in mathematics
出版元 Springer-Verlag
刊行年月 1977
ページ数 ix, 423 p.
大きさ 25 cm
ISBN 0387084479
3540084479
NCID BA02941615
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言語 フランス語
英語
出版国 ドイツ
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