Principal Congruences of Pseudocomplemented Distributive Lattices

DOI10.2307/2038700zbMath0269.06005OpenAlexW4241801056MaRDI QIDQ5686072

Harry Lakser

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038700

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Complemented lattices, orthocomplemented lattices and posets (06C15) Algebraic structures (08Axx)

Related Items

Congruence lattices of finite \(p\)-algebras, Reductio ad contradictionem: an algebraic perspective, Principal Congruences of Pseudocomplemented Semilattices and Congruence Extension Property, Principal congruences in de Morgan algebras, On Ockham algebras: Congruence lattices and subdirectly irreducible algebras, Uniform congruence schemes, Demi-pseudocomplemented lattices: Principal congruences and subdirect irreducibility, Principal congruences of double demi-p-lattices, Principal congruences on some lattice-ordered algebras, Sheaf representation and Chinese Remainder Theorems, Quasivarieties of distributive \(p\)-algebras, Congruence extension property for distributive double p-algebras, On two fragments with negation and without implication of the logic of residuated lattices, The number of subdirectly irreducible algebras in a variety, Finite equational bases for finite algebras in a congruence-distributive equational class, Some remarks on distributive double p-algebras, On subtractive varieties II: General properties, On the structure of varieties with equationally definable principal congruences. I, Congruence relations of pseudocomplemented distributive lattices

Cites Work

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• A note on the congruence extension property
• The Structure of Pseudocomplemented Distributive Lattices. I: Subdirect Decomposition
• The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and Amalgamation
• The Structure of Pseudocomplemented Distributive Lattices. III: Injective and Absolute Subretracts