Full transitivity condition for the cotorsion hull.

DOI10.1007/S10958-013-1591-3zbMath1287.20059OpenAlexW2038871144MaRDI QIDQ2439428

Yanyan Li

Publication date: 14 March 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1591-3

zbMATH Keywords

endomorphismsreduced Abelian groupsheight sequencesdirect sums of torsion-complete Abelian groupsfully transitive cotorsion hulls

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Mixed groups (20K21)

Cites Work

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• On the coperiodic hull of a separable \(p\)-group
• Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups.
• On fully invariant subgroups of primary Abelian groups
• Endomorphisms of abelian groups and the theorem of Baer and Kaplansky
• The characteristic subgroups of the Baer-Specker group
• On the full transitivity and fully invariant subgroups of cotorsion hulls of separable \(p\)-groups.

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