Polymorphism-Homogeneous Monounary Algebras
Zuzana Farkasová, Danica Jakubı́ková-Studenovská · Mathematica Slovaca · 2015
Abstract An n-ary local polymorphism of a given monounary algebra A is a homomorphism from a finitely generated subalgebra of An to A. A is n-polymorphism-homogeneous if each n-ary local polymorphism can be extended to a global polymorphism. Then A is called polymorphism-homogeneous, if it is n-polymorphism-homogeneous for each positive integer n. In this paper we describe all polymorphism-homogeneous monounary algebras.