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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