Geodesic
Polynomial transformations of a GEO-ring of prime characteristic
Diskretnaya Matematika, Tome 16 (2004) no. 3, pp. 105-117

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Let $S$ be an arbitrary finite chain ring of prime characteristic. The aim of this paper is to describe the set of polynomial transformations and polynomial substitutions of $S$. The numbers of polynomial transformations and polynomial substitutions are found in some particular cases. We prove that if $S$ is non-commutative, then any polynomial transformation of $S$ is non-transitive.The research was supported by grant 2358.2003.9 of the President of the Russian Federation for supporting the leading scientific schools. 
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     author = {O. A. Kozlitin},
     title = {Polynomial transformations of a {GEO-ring} of prime characteristic},
     journal = {Diskretnaya Matematika},
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     number = {3},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2004_16_3_a5/}
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O. A. Kozlitin. Polynomial transformations of a GEO-ring of prime characteristic. Diskretnaya Matematika, Tome 16 (2004) no. 3, pp. 105-117. http://geodesic.mathdoc.fr/item/DM_2004_16_3_a5/