A note on clean abelian groups.

zbMath1160.20049MaRDI QIDQ2467881

Peter Vámos, Brendan Goldsmith

Publication date: 29 January 2008

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108710

zbMATH Keywords

unitsidempotentstotally projective \(p\)-groupsclean groupstorsion-complete abelian \(p\)-groups

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)

Related Items

Nil-clean matrix rings, Unnamed Item, Unnamed Item, Self-small SP-groups with clean endomorphism rings, \(sp\)-groups and their endomorphism rings

Cites Work

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• Clean endomorphism rings.
• Continuous modules are clean.
• Torsion-free groups and modules with the involution property.
• Characterization of the endomorphism rings of divisible torsion modules and reduced complete torsion-free modules over complete discrete valuation rings
• Centers of purity in Abelian groups
• EXTENSIONS OF CLEAN RINGS
• 2-GOOD RINGS
• Lifting Idempotents and Exchange Rings
• Prescribing Endomorphism Algebras, a Unified Treatment
• Endomorphism Rings Generated by Units
• Sums of Automorphisms of Free Abelian Groups and Modules