Menger systems of idempotent cyclic and weak near-unanimity multiplace functions

DOI10.1142/S1793557122501625zbMath1506.08005OpenAlexW4200013983MaRDI QIDQ5876785

Thodsaporn Kumduang, Sorasak Leeratanavalee

Publication date: 2 February 2023

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122501625

zbMATH Keywords

algebra of multiplace functionsMenger algebracyclic termweak near-unanimity term

Mathematics Subject Classification ID

Structure theory of algebraic structures (08A05) Operations and polynomials in algebraic structures, primal algebras (08A40) Finitary algebras (08A62) (n)-ary systems ((nge 3)) (20N15)

Related Items (2)

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Cites Work

• A short introduction to clones.
• The partial clone of linear terms
• Menger algebras of \(n\)-place interior operations.
• Key (critical) relations preserved by a weak near-unanimity function
• Polynomial interpolation and the Chinese remainder theorem for algebraic systems
• Algebras of multiplace functions
• Weak near-unanimity functions and digraph homomorphism problems
• Every quasitrivial \(n\)-ary semigroup is reducible to a semigroup
• Binary generating set of the clone of idempotent aggregation functions on bounded lattices
• A composition algebra for multiplace functions
• De Morgan (2,n)-Semigroups ofn-Place Functions
• Absorbing Subalgebras, Cyclic Terms, and the Constraint Satisfaction Problem
• Algebras of Multiplace Functions
• Menger algebras of idempotent n-ary operations
• Complexity of term representations of finitary functions
• Finitely Related Algebras In Congruence Distributive Varieties Have Near Unanimity Terms
• Partial clones
• Menger hyperalgebras and their representations
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