Generalizing the Baer-Kaplansky theorem

DOI10.1016/S0022-4049(97)00187-4zbMath0942.16001MaRDI QIDQ1295650

George Ivanov

Publication date: 29 May 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

endomorphism ringsautomorphismsprimitive idempotentsAbelian torsion groupsdirect sums of indecomposable modulesIP-isomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion groups, primary groups and generalized primary groups (20K10) General module theory in associative algebras (16D10)

Related Items

Baer-Kaplansky classes of vector spaces and modules determined by numerical invariants ⋮ The Baer–Kaplansky Theorem for all abelian groups and modules ⋮ Baer-Kaplansky classes in Grothendieck categories and applications ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Baer-Kaplansky classes in categories: transfer via functors ⋮ A characterization of FGC rings. ⋮ Isomorphism between Endomorphism Rings of Modules over A Semisimple Ring ⋮ Baer-Kaplansky Theorem for Modules over Non-commutative Algebras ⋮ A Baer-Kaplansky theorem for modules over principal ideal domains

Cites Work

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