The Balanced-Projective Dimension of Abelian p-Groups

DOI10.2307/2000274zbMath0602.20047OpenAlexW4250698489MaRDI QIDQ3737663

László Fuchs, Paul Hill

Publication date: 1986

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000274

zbMATH Keywords

nicebalanced-projective dimensiontotally projective p-groupsisotypebalanced totally projective resolutionscategory of balanced-exact sequencesHill's third axiom of countability

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (15)

Valuated vector spaces, Kurepa's hypothesis and Abelian \(p\)-groups ⋮ The balanced-projective dimension of p-local Abelian groups ⋮ Balanced projectives and axiom 3 ⋮ Unnamed Item ⋮ On completely decomposable and separable modules over Prüfer domains ⋮ Isotype Warfield subgroups of global Warfield groups. ⋮ The sequentially pure projective dimension of global groups with decomposition bases. ⋮ An Invariant on Primary Abelian Groups with Applications to Their Projective Dimensions ⋮ On iterated torsion products of Abelian \(p\)-groups ⋮ Abelian groups ⋮ Isotype knice subgroups of global Warfield groups ⋮ Mixed Groups ⋮ A theorem on the closure of \(\Omega\)-pure subgroups of \(C_{\Omega}\) groups in the \(\Omega\)-topology ⋮ The balanced-projective dimension of units in commutative modular group algebras ⋮ Butler groups of infinite rank and axiom 3

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