Boole–De Morgan Algebras and Quasi-De Morgan Functions

DOI10.1080/00927872.2013.824459zbMath1338.06010OpenAlexW2068695386MaRDI QIDQ5495278

Vahagn A. Aslanyan, Yuri M. Movsisyan

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.824459

zbMATH Keywords

Boolean functionsZhegalkin polynomialsfree algebrasdisjunctive normal formsconjunctive normal formsDe Morgan functionsBoole-De Morgan algebrasquasi-De Morgan functions

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Boolean functions (06E30) Operations and polynomials in algebraic structures, primal algebras (08A40) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Boolean algebras with additional operations (diagonalizable algebras, etc.) (06E25)

Related Items (7)

Characterization of zigzag De Morgan functions ⋮ Free Modal Pseudocomplemented De Morgan Algebras ⋮ Unnamed Item ⋮ Super-De Morgan functions and free De Morgan quasilattices ⋮ Existentially closed de Morgan algebras ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A functional completeness theorem for De Morgan functions.
• On \(t\)-stochastic algebras
• Subdirectly irreducible algebras with various equations
• A CAYLEY THEOREM FOR THE MULTIPLICATIVE SEMIGROUP OF A FIELD
• Lattice Theory: Foundation
• BINARY REPRESENTATIONS OF ALGEBRAS WITH AT MOST TWO BINARY OPERATIONS: A CAYLEY THEOREM FOR DISTRIBUTIVE LATTICES
• A CHARACTERIZATION OF de MORGAN ALGEBRAS
• Hyperidentities of De Morgan algebras

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