Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, Held at Lascruces, New Mexico, December 9 - 12, 1976

ISBN-13: 9783540084471 / Angielski / Miękka / 1977 / 424 str.

D. Arnold; R. Hunter; E. Walker

Spis treści

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.