MODULES WITH ABELIAN ENDOMORPHISM RINGS

DOI10.1017/S0004972710000213zbMath1209.16005MaRDI QIDQ3579996

Grigore Călugăreanu, Phillip Schultz

Publication date: 11 August 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

endomorphism ringsendomorphismscentral idempotentsfully invariant submodulescommuting idempotentsunique complements

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (8)

On Abelian groups with commuting monomorphisms. ⋮ On abelian groups with right-invariant isometries. ⋮ Direct complements almost unique ⋮ On a class of dual Rickart modules ⋮ Abelian groups with monomorphisms invariant with respect to epimorphisms ⋮ On abelian groups with commutative commutators of endomorphisms ⋮ Rings which are duo on Zhou radical ⋮ N-chained semigroups and -perspective modules and rings

Cites Work

• Exercises in classical ring theory
• McCoy rings and zero-divisors.
• Idempotents and completely semiprime ideals
• On subcommutative rings
• The endomorphism ring of the additive group of a ring
• On abelian groups with commutative endomorphism ring

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