Self-Free Modules and E-Rings

DOI10.1081/AGB-120017772zbMath1035.20043MaRDI QIDQ4802444

Shalom Feigelstock, Manfred Dugas

Publication date: 14 April 2003

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

zbMATH Keywords

module homomorphismsstrongly indecomposable groupsslender modulesadditive groups of torsion-free E-ringsself-free modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) 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-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (4)

Localizations of torsion-free Abelian groups. ⋮ Localizations of tensor products. ⋮ Chains of Group Localizations ⋮ Idempotent functors and localizations in categories of modules and Abelian groups.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on large minimally free algebras
• Finite rank torsion free Abelian groups and rings
• Minimal freeness and commutativity
• Unital rings whose additive endomorphisms commute
• On minimally Free Algebras
• Pseudobases in Direct Powers of an Algebra
• The endomorphism ring of the additive group of a ring

This page was built for publication: Self-Free Modules and E-Rings