Boolean powers of abelian groups

DOI10.1016/0168-0072(90)90045-4zbMath0714.20039OpenAlexW1985435525MaRDI QIDQ750625

Katsuya Eda

Publication date: 1990

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(90)90045-4

zbMATH Keywords

complete Boolean algebraalgebraically compact groupsBoolean powersstrong cotorsion-free groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items

Abelian groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semi-rigid classes of cotorsion-free Abelian groups
• A generalized direct product of Abelian groups
• On Boolean powers of the group Z and (\(\omega\) ,\(\omega\) )-weak distributivity
• A minimal flabby sheaf and an Abelian group
• A Boolean power and a direct product of Abelian groups
• On a Boolean power of a torsion free Abelian group
• Martinaxiom und die Beschreibung gewisser Homomorphismen in der Theorie der \(\aleph_1\)-freien Abelschen Gruppen
• On reduced products of Abelian groups
• On radicals and products
• On the slender property of certain Boolean algebras
• Compact cardinals and Abelian groups
• A characterization of \(\aleph _ 1\)-free Abelian groups and its application to the Chase radical
• Completeness of Boolean powers of Boolean algebras
• Singly cogenerated annihilator classes
• Iterated Cohen extensions and Souslin's problem
• The structure of ultraproducts of Abelian groups
• On groups of functions defined on Boolean algebras
• Slender modules, endo-slender abelian groups and large cardinals
• Adding a closed unbounded set
• Strong axioms of infinity and elementary embeddings
• An extension of a theorem of Gaifman-Hales-Solvay
• Embedding Trees in the Rationals
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday