Abelian Group Theory
Springer Berlin (Verlag)
978-3-540-08447-1 (ISBN)
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.
| Erscheint lt. Verlag | 1.10.1977 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | XII, 424 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 608 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | abelian group • Abelsche Gruppe • endomorphism ring • group theory • Vector Space |
| ISBN-10 | 3-540-08447-9 / 3540084479 |
| ISBN-13 | 978-3-540-08447-1 / 9783540084471 |
| Zustand | Neuware |
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