Transitivity and full transitivity for nontorsion modules

DOI10.1006/JABR.1997.7062zbMath0890.20039OpenAlexW2093058201MaRDI QIDQ1375357

Steve T. Files

Publication date: 21 April 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7062

zbMATH Keywords

simply presented modulesWarfield modulescompletely decomposable modulesmixed modules\(p\)-local Abelian groupsfully transitive Abelian groupsheight sequences

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Mixed groups (20K21)

Related Items (9)

FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ Some transitivity-like concepts in abelian groups ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ On some properties of endomorphism rings of abelian groups ⋮ Transitive and fully transitive groups ⋮ Modules over discrete valuation domains. II ⋮ Full transitivity of Abelian groups. ⋮ The transitivity of local Warfield groups

Cites Work

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• On endomorphism rings of non-separable Abelian \(p\)-groups
• Transitive and fully transitive primary abelian groups
• Large subgroups and small homomorphisms
• Note on extensions of Abelian groups by primary groups
• Axiom 3 Modules
• Isotype Submodules of p-Local Balanced Projective Groups
• THE INDEPENDENCE OF KAPLANSKY'S NOTIONS OF TRANSITIVITY AND FULL TRANSITIVITY
• Transitive and fully transitive groups
• On Transitive and Fully Transitive Primary Groups

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