Constructions of p-algebras

DOI10.1007/BF01194538zbMath0536.06004MaRDI QIDQ791550

P. Mederly, Tibor Katrińák

Publication date: 1983

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

zbMATH Keywords

pseudocomplemented semilatticecongruence relationsclosed elementsdense elementsbounded semilatticequasi-modular p-algebrastriple construction

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Pseudocomplemented lattices (06D15) Semilattices (06A12)

Related Items

\(\delta\)-ideals of a pseudocomplemented semilattice ⋮ Congruences and \(d\)-filters of principal \(p\)-algebras. ⋮ Congruence lattices of finite \(p\)-algebras ⋮ The dual Heyting arrow lattice for biologic relational processes ⋮ Characterizations of pseudocomplemented lattices by excluded 0-sublattices ⋮ On the triple construction of distributive p-algebras ⋮ Lee classes and sentences for pseudo-complemented semilattices ⋮ Reasoning About Algebraic Structures with Implicit Carriers in Isabelle/HOL ⋮ Unnamed Item ⋮ A categorical equivalence for Stonean residuated lattices ⋮ Congruence pairs of principal p-algebras ⋮ Amalgamation for direct systems ⋮ On a new construction of pseudocomplemented semilattices ⋮ Kernel ideals and cokernel filters of a p-algebra ⋮ Unnamed Item ⋮ On constructions of p-algebras

Cites Work

• Characterization of certain classes of pseudo complemented semi-lattices
• Triple and sheaf representations of Stone lattices
• Construction of modular p-algebras
• A new description of the free Stone algebras
• Congruence pairs on p-algebras with a modular frame
• The triple method and free distributive pseudocomplemented lattices
• Subdirectly irreducible p-algebras
• Subdirectly irreducible modular p-algebras
• Pseudo-complements in semi-lattices
• Pseudo-complemented modular semilattices
• Die Freien Stoneschen Verbände und Ihre Tripelcharakterisierung
• Implicative Semi-Lattices
• Stone Lattices. I: Construction Theorems
• Stone Lattices. II. Structure Theorems
• Die Kennzeichnung der distributiven pseudokomplementären Halbverbände.
• Über eine Konstruktion der distributiven pseudokomplementären Verbände
• Characterization of the bounded Brouwerian lattices
• Uniqueness of representations of a distributive lattice as a free product of a Boolean algebra and a chain
• Equational Classes of Distributive Pseudo-Complemented Lattices
• The Structure of Pseudocomplemented Distributive Lattices. I: Subdirect Decomposition
• A New Proof of the Construction Theorem for Stone Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item