A generalization of separable torsion-free Abelian groups

zbMath0571.20048MaRDI QIDQ1061861

G. Viljoen, László Fuchs

Publication date: 1985

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1985__73__15_0

zbMATH Keywords

endomorphism ringsseparabilityprincipal ideal domainsseparable groupsdirect summandtorsion-free abelian groupfinite rank torsion-free abelian groups\({\mathfrak C}\)-separable abelian groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (3)

1-SEPARABLE TORSION FREE MODULES OVER INTEGRAL DOMAINS ⋮ Abelian groups ⋮ Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups.

Cites Work

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• Global Azumaya theorems in additive categories
• A sufficient condition for separability
• The classification of certain classes of torsion free Abelian groups
• On torsion-free abelian groups whose endomorphism rings are principal ideal domains

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