Self-Small Abelian Groups as Modules over Their Endomorphism Rings

DOI10.1081/AGB-120023139zbMath1039.20030OpenAlexW2083777031MaRDI QIDQ4428223

Simion Sorin Breaz

Publication date: 14 September 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120023139

zbMATH Keywords

endomorphism ringsmixed groupsdirect sum\(E\)-ringessentially indecomposable groupself-small group of finite torsion-free rank

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Mixed groups (20K21)

Related Items (5)

SELF-SMALL ABELIAN GROUPS ⋮ Warfield dualities induced by self-small mixed groups ⋮ Purity and Self-Small Groups ⋮ \(sp\)-groups and their endomorphism rings ⋮ Autocompact objects of Ab5 categories

Cites Work

• Unnamed Item
• Abelian groups projective over their endomorphism rings
• Projective modules over semilocal rings
• Torsion-free Abelian groups of finite rank projective as modules over their endomorphism rings
• The flat dimension of mixed abelian groups as \(E\)-modules
• Primary abelian groups as modules over their endomorphism rings
• Examples of torsion-free groups flat as modules over their endomorphism rings
• Mixed Abelian Groups with Artinian Quasi-Endomorphism Ring
• ON A CLASS OF MIXED GROUPS WITH SEMI-LOCAL WALK-ENDOMORPHISM RING
• The endomorphism ring of the additive group of a ring

This page was built for publication: Self-Small Abelian Groups as Modules over Their Endomorphism Rings