A new proof of the baer-kaplansky theorem

DOI10.1080/00927879108824310zbMath0751.20037OpenAlexW2024493320MaRDI QIDQ3986885

Theodore G. Faticoni

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879108824310

zbMATH Keywords

endomorphism ringsinduced isomorphismsabelian \(p\)-groupsBaer-Kaplansky theorem

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)

Cites Work

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• On a paper of Richman and Walker
• Primary abelian groups as modules over their endomorphism rings
• On the lattice of right ideals of the endomorphism ring of an abelian group

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