Geodesic
On the overstructure of a class of polynomials in many-valued logics
Diskretnaya Matematika, Tome 8 (1996) no. 3, pp. 90-97 
G. P. Gavrilov. On the overstructure of a class of polynomials in many-valued logics. Diskretnaya Matematika, Tome 8 (1996) no. 3, pp. 90-97. http://geodesic.mathdoc.fr/item/DM_1996_8_3_a6/
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     author = {G. P. Gavrilov},
     title = {On the overstructure of a class of polynomials in many-valued logics},
     journal = {Diskretnaya Matematika},
     pages = {90--97},
     year = {1996},
     volume = {8},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1996_8_3_a6/}
}
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For the functional system $P_k$, where $k=p^r$, $p$ is a prime number and $r\ge 2$, we give a representation by formulae of functions of the class $\frak M_k$ which consists of the functions preserving congruence modulo $d=p^s$, $s=1,\ldots,r-1$. Basing on this representation, we describe several closed classes, which include the class of polynomials $\Pol_k$ and are contained in the class $\frak M_k$, and give some properties of the classes introduced.This work is supported by the Russian Foundation for Basic Research, Grant 94–01–01206–a.