Small congruence distributive varieties: retracts, injectives, equational compactness and amalgamation

DOI10.1007/BF00150835zbMath0880.08005OpenAlexW1984236085MaRDI QIDQ1375076

Henry Rose, Peter Ouwehand

Publication date: 5 January 1998

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00150835

zbMATH Keywords

amalgamationabsolute retractscongruence distributive varietiesinjectivesHorn classesresidually small varietiesequationally compact algebras

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10) Equational compactness (08A45)

Related Items (2)

Absolute retracts and essential extensions in congruence modular varieties ⋮ Algebraically closed algebras in certain small congruence distributive varieties

Cites Work

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• Boolean powers
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• The amalgamation property in equational classes of modular lattices
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• The Amalgamation Property, the Universal-Homogeneous Models, and the Generic Models.
• Weak Injectivity and Congruence Extension in Congruence-Distributive Equational Classes
• Absolute Retracts and Amalgamation in Certain Congruence Distributive Varieties
• Filtral powers of structures
• Equationally compact algebras (I)
• The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and Amalgamation

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