Classification Theory of Abelian Groups. I: Balanced Projectives

DOI10.2307/1997657zbMath0358.20065OpenAlexW4235039670MaRDI QIDQ4133850

Robert B. jun. Warfield

Publication date: 1976

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1997657

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Abelian groups (20K99)

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Balanced projective and cobalanced injective torsion free groups of finite rank, The balanced-projective dimension of p-local Abelian groups, Balanced projectives and axiom 3, The classification of \(\mathbb {Z}_p\)-modules with partial decomposition bases in \(L_{\infty \omega}\), On p-local Abelian groups with decomposition bases, A Classification Theorem for SKT-Modules, A Projective Characterization for SKT-modules, An equivalence for categories of modules over a complete discrete valuation domain, Global Warfield Groups, Global Azumaya theorems in additive categories, Intersections of pure subgroups of valuated Abelian groups, On the structure of \(p\)-local abelian groups, Modules over discrete valuation domains. III, Modules over discrete valuation domains. I, The fully invariant subgroups of local Warfield groups, Abelian groups, Valuated groups, Modules over discrete valuation domains. II, Almost-affable Abelian groups