scientific article

zbMath0784.16018MaRDI QIDQ3996162

Andrew B. Carson

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Boolean algebraforcingBoolean ringscentral idempotentslocalizationringed spaceStone spacetorsion theoryquotient ringsheaf of ringsring of global sectionsmodel completionidempotent kernel functorring of locally constant functionselementary propertiesstalksBoolean completioncomplete Stonean algebras\(T\)- modelelementary theory of ringslocal amalgamation propertyprimitive sentencesregular rings of finite indexrepresentations of rings by sheavessheaf embeddingtheory of indecomposable rings

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Model-theoretic algebra (03C60) Stone spaces (Boolean spaces) and related structures (06E15) Algebraic properties of function spaces in general topology (54C40) Applications of logic to commutative algebra (13L05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Representations of topological algebras (46H15) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Model-theoretic forcing (03C25) Applications of logic in associative algebras (16B70) Representations of commutative topological algebras (46J25) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (5)

A Sheaf Representation for Modules with Applications to Gelfand Rings ⋮ Self-injective regular algebras and function rings ⋮ A Characterization of Function Rings with Boolean Domain ⋮ Boolean products of lattices ⋮ Completions of orthomodular lattices. II

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