Almost flat abelian groups

DOI10.1216/rmjm/1181072189zbMath0847.20052OpenAlexW2065480224MaRDI QIDQ1912618

Ulrich F. Albrecht, Pat Goeters

Publication date: 30 September 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072189

zbMATH Keywords

endomorphism ringsquasi-isomorphismsbounded Abelian groupsalmost flat modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15)

Related Items (7)

The quasi-Baer-splitting property for mixed Abelian groups. ⋮ Abelian groups with self-injective quasi-endomorphism rings. ⋮ Abelian groups that are torsion over their endomorphism rings ⋮ Finite extensions of \(A\)-solvable Abelian groups ⋮ Almost-Flat Modules ⋮ A Morita type theorem for a sort of quotient categories ⋮ Subalgebras of rational matrix algebras

Cites Work

• Unnamed Item
• Endomorphism rings of faithfully flat Abelian groups
• Generating cotorsion theories and injective classes
• Finite rank torsion free Abelian groups and rings
• Extensions of torsion-free Abelian groups of finite rank
• Examples of torsion-free groups flat as modules over their endomorphism rings
• Baer's Lemma and Fuchs' Problem 84a
• FLATNESS AND THE RING OF QUASI-ENDOMORPHISMS

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