Completely decomposable Abelian groups with clean endomorphism rings.

DOI10.1007/s10958-014-1748-8zbMath1301.20052OpenAlexW1998478333MaRDI QIDQ743596

K. S. Sorokin

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1748-8

zbMATH Keywords

clean endomorphism ringscompletely decomposable Abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Units, groups of units (associative rings and algebras) (16U60)

Related Items

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

Cites Work

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• Rings without infinite sets of noncentral orthogonal idempotents.
• Continuous modules are clean.
• Properties of endomorphism rings of Abelian groups. II.
• EXTENSIONS OF CLEAN RINGS