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Determining Abelian \(p\)-groups by the Jacobson radical of their endomorphism rings

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Publication:1895557
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DOI10.1006/jabr.1995.1125zbMath0837.20067OpenAlexW2028920338MaRDI QIDQ1895557

Jutta Hausen, Johnny A. Johnson

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1125

zbMATH Keywords

endomorphism ringsJacobson radicalAbelian \(p\)-groupsinduced by automorphisms


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Jacobson radical, quasimultiplication (16N20)


Related Items

Unnamed Item, Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules, The Jacobson Radical’s Role in Isomorphism Theorems for p-Adic Modules Extends to Topological Isomorphism, Modules over discrete valuation domains. III, Modules over discrete valuation domains. I, Around the Baer-Kaplansky theorem, Modules over discrete valuation domains. II



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