Non-axiomatizability of the amalgamation class of modular lattice varieties

DOI10.1007/BF00341636zbMath0684.06006WikidataQ60143376 ScholiaQ60143376MaRDI QIDQ1825215

Clifford Bergman

Publication date: 1989

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

elementary classvariety generated by \(N_ 5\)variety generated by a finite modular lattice

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Modular lattices, Desarguesian lattices (06C05) Products, amalgamated products, and other kinds of limits and colimits (08B25) Varieties of lattices (06B20)

Related Items (3)

Small congruence distributive varieties: retracts, injectives, equational compactness and amalgamation ⋮ Amalgamation in the pentagon variety ⋮ Algebraically closed algebras in certain small congruence distributive varieties

Cites Work

• Unnamed Item
• Amalgamation in small varieties of lattices
• Amalgamation bases for nil-2 groups
• Amalgamation classes of some distributive varieties
• Interval lattices and the amalgamation property
• Bounded Obstructions, Model Companions and Amalgamation Bases
• Structure Theory for Equational Classes Generated by Quasi-Primal Algebras
• The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and Amalgamation

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