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- W2016562547 abstract "A global definition of K -nice subgroup is formulated, which generalizes both the notion of a nice subgroup in the context of torsion groups and the notion of a K -nice submodule used in a recent study of p -local balanced projective groups. It is shown, analogous to Hill's treatment of totally projective p -groups, that the (global) balanced projective groups of Warfield are precisely those mixed abelian groups that satisfy the Third Axiom of Countability for K -nice subgroups. A variety of equivalent characterizations of balanced projectives are derived by methods independent of the uniqueness and existence theorems previously established for these groups." @default.
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- W2016562547 date "1987-12-01" @default.
- W2016562547 modified "2023-10-18" @default.
- W2016562547 title "Balanced projectives and Axiom 3" @default.
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- W2016562547 doi "https://doi.org/10.1016/0021-8693(87)90230-4" @default.
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