The lattice of fully invariant subgroups of the cotorsion hull.

DOI10.1007/S10958-014-1763-9zbMath1305.20064OpenAlexW4232710149MaRDI QIDQ459469

J. Herrera, D. Rodríguez-Gómez

Publication date: 13 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-014-1763-9

zbMATH Keywords

lattices of subgroupscotorsion groupscotorsion hullsdirect sums of torsion-complete \(p\)-groupslattices of filterslattices of fully invariant subgroupsseparable \(p\)-groups

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Representation theory of lattices (06B15) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (1)

On the full transitivity of a cotorsion hull

Cites Work

• On the theory and classification of Abelian \(p\)-groups
• 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
• Transitive and fully transitive groups
• The structure of large subgroups of primary abelian groups
• On the full transitivity and fully invariant subgroups of cotorsion hulls of separable \(p\)-groups.
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