Global Warfield Groups

DOI10.2307/1998440zbMath0471.20038OpenAlexW4231975100MaRDI QIDQ3924385

Fred Richman, Roger Hunter

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998440

zbMATH Keywords

totally projective p-groupsdecomposition basiscompletely decomposable torsion-free groupsglobal Warfield groupssimply presented abelian group

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Mixed groups (20K21)

Related Items

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, Isotype Warfield subgroups of global Warfield groups., A Characterization of Warfield Groups, Direct sums of self-small mixed groups, Modules over discrete valuation domains. III, Modules over discrete valuation domains. I, Abelian groups, Mixed Groups, Modules over discrete valuation domains. II, Characterizations of Warfield groups, Isomorphic commutative group algebras of \(p\)-mixed Warfield groups.

Cites Work

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• Mixed modules over valuation rings
• Torsion-free and mixed abelian groups
• Global Azumaya theorems in additive categories
• The constructive theory of KT-modules
• Infinite decomposition bases
• Simply presented valuated Abelian p-groups
• Valuated groups
• Almost-affable Abelian groups
• On mixed groups of torsion-free rank one
• On mixed groups of torsion-free rank one with totally projective primary components
• Modules Over a Complete Discrete Valuation Ring
• Balanced Subgroups of Abelian Groups
• A Classification Theorem for Abelian p-Groups
• Classification Theory of Abelian Groups. I: Balanced Projectives
• Existence Theorems for Warfield Groups
• An Invariant for Modules over a Discrete Valuation Ring
• Modules Over an Incomplete Discrete Valuation Ring
• The structure of torsion abelian groups given by presentations
• Classification theorems for 𝑝-groups and modules over a discrete valuation ring
• Ulm's Theorem for Totally Projective Groups