Existence Theorems for Warfield Groups

DOI10.2307/1998225zbMath0368.20034OpenAlexW4248098744MaRDI QIDQ4145892

Fred Richman, Roger Hunter, Elbert A. Walker

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998225

Mathematics Subject Classification ID

Abelian groups (20K99)

Related Items

Balanced projectives and axiom 3, Growing forests in Abelian \(p\)-groups, On p-local Abelian groups with decomposition bases, An equivalence for categories of modules over a complete discrete valuation domain, Commutator endomorphisms of totally projective abelian \(p\)-groups, Global Warfield Groups, On height sequences in primary Abelian groups, Isotype Warfield subgroups of global Warfield groups., The projective dimension of valuated vector spaces, A Characterization of Warfield Groups, Realization theorems for valuated \(p^n\)-socles., Modules over discrete valuation domains. III, Modules over discrete valuation domains. I, The fully invariant subgroups of local Warfield groups, Abelian groups, Mixed Groups, Modules over discrete valuation domains. II, Countable random 𝑝-groups with prescribed Ulm-invariants, Characterizations of Warfield groups, Countably totally projective abelian \(p\)-groups have minimal full inertia, A homological characterization of certain subgroups of Abelianp-groups

Cites Work

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• An Invariant for Modules over a Discrete Valuation Ring
• Classification theorems for 𝑝-groups and modules over a discrete valuation ring
• Ulm's Theorem for Totally Projective Groups