×

zbMATH — the first resource for mathematics

On closed classes of functions of \(k\)-valued logics defined by a single endomorphism. (Russian) Zbl 1249.03018
Summary: We study closed classes in \(P_k\) defined by a single endomorphism. We prove that every such class is positively closed. In the case of non-identical idempotent endomorphisms, the corresponding closed class is positively precomplete in \(P_k\). For \(k=2,3\) all positively precomplete classes in \(P_k\) are defined by such an endomorphism. All positively submaximal classes in \(P_3\) are found.
MSC:
03B50 Many-valued logic
PDF BibTeX XML Cite