On endomorphism rings of non-separable Abelian \(p\)-groups

DOI10.1016/0021-8693(89)90274-3zbMath0687.20050OpenAlexW1998345360MaRDI QIDQ1262956

Brendan Goldsmith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90274-3

zbMATH Keywords

Abelian \(p\)-groups\(p\)-lengthrealization problemseparable \(p\)-groups\(V=L\)thin endomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (9)

Multiple transitivity in abelian groups ⋮ Transitivity and full transitivity for nontorsion modules ⋮ Remarks about the history of Abelian groups in England and Germany. ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Transitive and fully transitive groups ⋮ Abelian groups ⋮ Modules over discrete valuation domains. II ⋮ Fully transitive $p$-groups with finite first Ulm subgroup

Cites Work

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• On endomorphism rings of primary Abelian groups
• Every cotorsion-free algebra is an endomorphism algebra
• Centers of purity in Abelian groups
• On Endomorphism Algebras of Mixed Modules
• THE INDEPENDENCE OF KAPLANSKY'S NOTIONS OF TRANSITIVITY AND FULL TRANSITIVITY
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS, II
• Essentially-Rigid Families of Abelian p -Groups
• Prescribing Endomorphism Algebras, a Unified Treatment
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS

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