FLATNESS AND THE RING OF QUASI-ENDOMORPHISMS

DOI10.1080/16073606.1996.9631847zbMath0851.20051OpenAlexW1984759438MaRDI QIDQ4886308

H. Pat Goeters, Ulrich F. Albrecht

Publication date: 27 November 1996

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1996.9631847

zbMATH Keywords

torsion-free Abelian groupsalmost completely decomposable groupsinjective hullsquasi-endomorphism rings\(E\)-flat groupstype lattices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (7)

Homological Properties of Quotient Divisible Abelian Groups ⋮ Almost flat abelian groups ⋮ Abelian groups with self-injective quasi-endomorphism rings. ⋮ Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups. ⋮ The rank of abelian groups with commutative endomorphism ring ⋮ A Note on FinitelyA-Presented Abelian Groups ⋮ A note on coflat abelian groups

Cites Work

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• Abelian groups projective over their endomorphism rings
• Generating cotorsion theories and injective classes
• Torsion-free Abelian groups of finite rank projective as modules over their endomorphism rings
• Finite rank torsion free Abelian groups and rings
• Unital rings whose additive endomorphisms commute
• Large E-rings exist
• A flatnes s criterion in Grothendieck categories
• Cyclic Ext
• Examples of torsion-free groups flat as modules over their endomorphism rings
• Each countable reduced torsion-free commutative ring is a pure subring of an e-ring
• Finitely faithful s-groups
• The endomorphism ring of the additive group of a ring

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