id: 05924786 dt: j an: 05924786 au: Alekseev, V.B. ti: On some closed classes of self-dual partial many-valued functions. so: Uch. Zap. Kazan. Gos. Univ., Ser. Fiz.-Mat. Nauki 151, No. 2, 16-24 (2009). py: 2009 pu: Kazanskij Gosudarstvennyj Universitet, Kazan’ la: RU cc: ut: $k$-valued function; partially defined function; closed class; self-dual function ci: li: ab: Summary: Let $S$ be a class of fully defined functions of any number of variables that are defined and take values in the set $E_k=\{0,1,\dots,k-1\}$ and are self-dual under a given permutation on $E_k$. Let $S^*$ be the set of all partially defined $k$-valued functions that can be extended to functions from $S$. In this paper all closed classes (under superposition) that contain $S$ and are contained in $S^*$ are described for the case when permutation is the product of non-intersecting cycles of the same length. rv: