Examples of torsion-free groups flat as modules over their endomorphism rings

DOI10.1080/00927879108824126zbMath0728.20046OpenAlexW2010022191MaRDI QIDQ3351604

Theodore G. Faticoni, Pat Goeters

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824126

zbMATH Keywords

torsion-free Abelian groupsexact sequenceendomorphism rings of Abelian groupsreduced, torsion-free ringtorsion-free of finite rank

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (14)

The flat dimension of mixed abelian groups as \(E\)-modules ⋮ Almost flat abelian groups ⋮ A characterization of modules with the summand intersection property ⋮ Torsion-free Abelian groups torsion over their endomorphism rings ⋮ FLATNESS AND THE RING OF QUASI-ENDOMORPHISMS ⋮ On the quasi-splitting of exact sequences ⋮ Abelian groups that are torsion over their endomorphism rings ⋮ Finite extensions of \(A\)-solvable Abelian groups ⋮ Abelian groups ⋮ Modules with the quasi-summand intersection property ⋮ Self-Small Abelian Groups as Modules over Their Endomorphism Rings ⋮ Subalgebras of rational matrix algebras ⋮ \(*^s\)-modules. ⋮ The construction of $A$-solvable Abelian groups

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