FAMILIES OF ULTRAFILTERS, AND HOMOMORPHISMS ON INFINITE DIRECT PRODUCT ALGEBRAS

DOI10.1017/jsl.2013.5zbMath1338.03090arXiv1301.6383OpenAlexW2962718491MaRDI QIDQ2921031

George M. Bergman

Publication date: 30 September 2014

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6383

zbMATH Keywords

measurable cardinalultrafilterslender moduleErdős-Kaplansky theoremhomomorphism on an infinite direct product of groups or \(k\)-algebras

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Large cardinals (03E55) Applications of set theory (03E75) Other combinatorial set theory (03E05) Ultraproducts and related constructions (03C20) Applications of logic in associative algebras (16B70)

Related Items (5)

On the utility of Robinson-Amitsur ultrafilters. II ⋮ The ideal test for the divergence of a series ⋮ On the utility of Robinson-Amitsur ultrafilters ⋮ Weakly slender algebras ⋮ \(M\)-slenderness

Cites Work

• Unnamed Item
• Homomorphisms on infinite direct product algebras, especially Lie algebras
• On a Boolean power of a torsion free Abelian group
• Proximity structures and grills

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