Marchenkov, S. S. On closed classes of functions of \(k\)-valued logics defined by a single endomorphism. (Russian) Zbl 1249.03018 Diskretn. Anal. Issled. Oper. 16, No. 6, 52-67 (2009). 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 Keywords:many-valued logic function; endomorphism; positively closed class PDF BibTeX XML Cite \textit{S. S. Marchenkov}, Diskretn. Anal. Issled. Oper. 16, No. 6, 52--67 (2009; Zbl 1249.03018)