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The arity of NU polymorphisms
Draganov, Ondřej ; Barto, Libor (advisor) ; Růžička, Pavel (referee)
This paper deals with an arity of NU polymorphisms of relational structures. The goal is to simplify and clearly describe an already existing example of a relational structure, which has an NU polymorphism, but no NU polymorphisms of low arity in respect to arity of relations and to a number of elements in the relational structure. We explicitly describe m-ary relational structures with n elements, n ≥ 2, m ≥ 3, which have no NU polymorphisms of arity (m − 1)2n−2 , but have an NU polymorphism of arity (m − 1)2n−2 + 1, which is constructed in the paper, and binary relational structures with n elements, n ≥ 3, which have no NU polymorphisms of arity 22n−3 , but have an NU polymorphism of arity 22n−3 + 1.
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The arity of NU polymorphisms
Draganov, Ondřej ; Barto, Libor (advisor) ; Růžička, Pavel (referee)
This paper deals with an arity of NU polymorphisms of relational structures. The goal is to simplify and clearly describe an already existing example of a relational structure, which has an NU polymorphism, but no NU polymorphisms of low arity in respect to arity of relations and to a number of elements in the relational structure. We explicitly describe m-ary relational structures with n elements, n ≥ 2, m ≥ 3, which have no NU polymorphisms of arity (m − 1)2n−2 , but have an NU polymorphism of arity (m − 1)2n−2 + 1, which is constructed in the paper, and binary relational structures with n elements, n ≥ 3, which have no NU polymorphisms of arity 22n−3 , but have an NU polymorphism of arity 22n−3 + 1.
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