Axiom 3 Modules

DOI10.2307/2000060zbMath0597.20048OpenAlexW4255779929MaRDI QIDQ3729174

Paul Hill, Charles Megibben

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2000060

zbMATH Keywords

primitive elementsthird axiom of countabilityUlm-Kaplansky invariantsWarfield invariantsdecomposition basisheight sequencesknice submoduleslocal Warfield modulesp-local abelian groupAxioms 3 modulesvaluated coproduct

Mathematics Subject Classification ID

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) Abelian groups (20K99)

Related Items (16)

The balanced-projective dimension of p-local Abelian groups ⋮ Pure Subgroups of Torsion-Free Groups ⋮ Balanced projectives and axiom 3 ⋮ On p-local Abelian groups with decomposition bases ⋮ Transitivity and full transitivity for nontorsion modules ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ The fully invariant subgroups of local Warfield groups ⋮ Torsion Free Groups ⋮ Abelian groups ⋮ Mixed Groups ⋮ Equivalence theorems ⋮ Modules over discrete valuation domains. II ⋮ Characterizations of Warfield groups ⋮ The transitivity of local Warfield groups ⋮ Classification of modules with two distinguished pure submodules and bounded quotients

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