scientific article; zbMATH DE number 7536563

zbMath1497.06011MaRDI QIDQ5863855

Yuri M. Movsisyan

Publication date: 3 June 2022

Full work available at URL: https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-38-number-1-2-2022/mvlsc-38-1-2-p-137-152/

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

free algebraBoolean functionD-functionbi-de Morgan functionBoole-de Morgan bilatticede Morgan functiondisjunctive (conjunctive) normal formdistributive bilatticequasi-de Morgan function

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Free lattices, projective lattices, word problems (06B25) Other generalizations of distributive lattices (06D75)

Uses Software

• JBool

Cites Work

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• Priestley duality for bilattices
• The value of the four values
• Distributive bilattices from the perspective of natural duality theory.
• Bilattices and hyperidentities
• Lattice Theory: Foundation
• BINARY REPRESENTATIONS OF ALGEBRAS WITH AT MOST TWO BINARY OPERATIONS: A CAYLEY THEOREM FOR DISTRIBUTIVE LATTICES
• HYPERIDENTITIES OF BOOLEAN ALGEBRAS
• Hyperidentities in algebras and varieties
• Algebras with hyperidentities of the variety of Boolean algebras
• Free De Morgan Bisemigroups and Bisemilattices
• The structure of interlaced bilattices
• A CHARACTERIZATION OF de MORGAN ALGEBRAS
• Monotone Boolean functions
• Hyperidentities of De Morgan algebras
• Boole–De Morgan Algebras and Quasi-De Morgan Functions
• Lattices With Involution