A Construction of Many Uncountable Rings Using SFP Domains and Aronszajn Trees

DOI10.1112/plms/s3-67.3.449zbMath0788.03048OpenAlexW2057707411MaRDI QIDQ4287034

Saharon Shelah, I. M. Hodkinson

Publication date: 12 April 1994

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-67.3.449

zbMATH Keywords

Boolean algebraStone dualityidealsBoolean ringAronszajn treesBoolean powernonstructure theoremSFP domainsubdirect product of a family of ringsuncountable ring

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Complete lattices, completions (06B23) Applications of logic to commutative algebra (13L05) Continuous lattices and posets, applications (06B35) Other combinatorial set theory (03E05) Models with special properties (saturated, rigid, etc.) (03C50) Structure theory of Boolean algebras (06E05) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Ring-theoretic properties of Boolean algebras (06E20) Other model constructions (03C30)

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