Slender groups and related concepts

DOI10.1080/00927878608823311zbMath0583.20044OpenAlexW1973375016MaRDI QIDQ3708204

Bernhard Thomé, S. V. Rychkov

Publication date: 1986

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878608823311

zbMATH Keywords

torsion-free abelian groupsinductive familyalmost \({\mathcal L}\)-slender groupsalmost slender groupsdual \({\mathcal L}\)-slendernessL-slendernessLós' fundamental theorem on slender groupsthick p-groupsunbounded cotorsion group

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (7)

Unnamed Item ⋮ Primary abelian groups admitting only small homomorphisms ⋮ Abelian groups in Russia. ⋮ Compact groups that are duals of quotient divisible abelian groups ⋮ On products of primary abelian groups ⋮ Abelian groups ⋮ Some generalizations of slender Abelian groups.

Cites Work

• Unnamed Item
• Abelian group extensions and the axiom of constructibility
• On stout and slender groups
• Thin abelian p-groups
• On direct sums and products of modules
• A PROBLEM ON ABELIAN GROUPS
• ON DIRECT PRODUCTS OF ABELIAN GROUPS
• On Purifiable Subsocles of a Primary Abelian Group

This page was built for publication: Slender groups and related concepts