The Jacobson Radical’s Role in Isomorphism Theorems for p-Adic Modules Extends to Topological Isomorphism

DOI10.1007/978-3-319-51718-6_14zbMath1436.16021OpenAlexW2621186013MaRDI QIDQ3298257

Mary Flagg

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_14

zbMATH Keywords

endomorphism ringsJacobson radicalfinite topologymixed modulesisomorphism theorem

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Jacobson radical, quasimultiplication (16N20)

Related Items (3)

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Modules over discrete valuation domains. III ⋮ Around the Baer-Kaplansky theorem

Cites Work

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• Endomorphisms of rank one mixed modules over discrete valuation rings
• Most abelian \(p\)-groups are determined by the Jacobson radical of their endomorphism rings
• Endomorphism rings of Abelian groups.
• Isomorphism of endomorphism algebras over complete discrete valuation rings
• Determining Abelian \(p\)-groups by the Jacobson radical of their endomorphism rings
• Endomorphism algebras of modules with distinguished torsion-free elements
• The theorem of Baer and Kaplansky for mixed modules
• Automorphism rings of primary abelian operator groups
• Jacobson Radical Isomorphism Theorems for Mixed Modules Part One: Determining the Torsion
• The use of the finite topology on endomorphism rings

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