The structure of c-decomposable pw+n-projective abelian p-groups

DOI10.1080/00927878408823005zbMath0532.20030OpenAlexW1990015177MaRDI QIDQ3314056

Doyle Cutler, Colin Missel

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823005

zbMATH Keywords

direct sum of cyclic groupsvaluated groupsC-decomposable projective groupsfinal rankp-projective abelian p-group

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (10)

Pure projective resolutions in the category of p-primary Abelian groups ⋮ Solution of the irwin conjecture in gch ⋮ A Note on Irwin's Conjecture (E.F.I.p-Groups = Thickp-Groups) ⋮ Notes on Essentially Finitely Indecomposable Nonthick Primary Abelian Groups ⋮ An application of set theory to \(\omega+n\)-totally \(p^{\omega+n}\)-projective primary Abelian groups. ⋮ Note on elongations of totally projective \(p\)-groups by \(p^{\omega+n}\)-projective \(p\)-groups. ⋮ Abelian groups ⋮ The lattice of fully invariant subgroups of a cotorsion group. ⋮ On the full transitivity and fully invariant subgroups of cotorsion hulls of separable \(p\)-groups. ⋮ On the full transitivity and fully invariant subgroups of cotorsion hulls of separable \(p\)-groups.

Cites Work

• Vector spaces with valuations
• Valuated groups
• On p^ω+1 -Projective p -Groups
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