Equational compactness in rings. With applications to the theory of topological rings

zbMath0463.16001MaRDI QIDQ1153414

David K. Haley

Publication date: 1979

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

ultraproductJacobson topologyretractdiscriminator varietiesascending chain conditioncompact topological ringequationally compact ringsstructure topologies

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Topological rings and modules (13J99) Topological and ordered rings and modules (16W80) Other topological algebraic systems and their representations (22A30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (4)

Equational compactness of bi-frames and projection algebras ⋮ On the Universal Theory of Classes of Finite Models ⋮ Reduced powers, ultrapowers and exactness of limits ⋮ Extending ring topologies

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