Self-injective regular algebras and function rings

DOI10.1007/BF01212444zbMath0796.16023WikidataQ114234007 ScholiaQ114234007MaRDI QIDQ1205175

Andrew B. Carson

Publication date: 1 April 1993

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

idempotentsBoolean algebradefinabilityfunction ringelementarily equivalentdiscretely topologised \(F\)-algebraself-injective commutative von Neumann regular ring

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Applications of logic in associative algebras (16B70)

Related Items (1)

A Characterization of Function Rings with Boolean Domain

Cites Work

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• The Undecidability of Algebraic Rings and Fields
• Sheaves of structures and generalized ultraproducts
• Modules over commutative regular rings
• The Theory of Representation for Boolean Algebras
• Definability and decision problems in arithmetic

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