Endomorphism rings and subgroups of finite rank torsion-free Abelian groups

DOI10.1216/RMJ-1982-12-2-241zbMath0502.20031MaRDI QIDQ1172701

David M. Arnold

Publication date: 1982

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

zbMATH Keywords

endomorphism ringsirreducible modulesquasi-pure-injective groupsalgebra of quasi-endomorphismsdirect sum of fully invariant subgroupsindecomposable strongly homogeneous groupsreduced group

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items (17)

A class of Abelian groups with hereditary rings of endomorphisms ⋮ Gabriel filters on the endomorphism ring of a torsion-free abelian group ⋮ Butler theory over Murley groups ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Extensions of order \(p\) ⋮ A NOTE ON B-COSEPARABLE GROUPS ⋮ On L. Fuchs' problems 17 and 43. ⋮ S*-GROUPS ⋮ On torision-free ext ⋮ Finitely faithful s-groups ⋮ Murley groups and the torsion-freeness of Ext. ⋮ Near-isomorphism for bounded completely decomposable groups ⋮ Examples of torsion-free groups flat as modules over their endomorphism rings ⋮ A-Solvability and Mixed Abelian Groups ⋮ Torsion-Free Ext ⋮ Self-pure-generators over Dedekind domains ⋮ Murley Groups and the Torsion-Freeness of Ext

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