A Characterization of Function Rings with Boolean Domain

DOI10.2307/2160359zbMath0815.16014OpenAlexW4236600551MaRDI QIDQ4299220

Andrew B. Carson

Publication date: 3 July 1995

Full work available at URL: https://doi.org/10.2307/2160359

zbMATH Keywords

Boolean algebracentral idempotentscontinuous functionsStone spaceamalgamation propertyring of functionscountable ring\(\mathcal M\)-standard function ringuniversal class of indecomposable rings

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Model-theoretic algebra (03C60)

Cites Work

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• Boolean-linear spaces
• Self-injective regular algebras and function rings
• Monadic algebras with finite degree
• Model theory
• Representation of semi-simple algebraic algebras
• Abstract Theory of Abelian Operator Algebras: An Application of Forcing
• Modules over commutative regular rings
• Topological Representation of Algebras

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