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Polynomial transformations of GEO-rings of prime characteristic
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O. A. Kozlitin
Published/Copyright:
August 1, 2004
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.
Published Online: 2004-08-01
Published in Print: 2004-08-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
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- The limit distribution of the number of cyclic vertices in a random mapping in a special case
- The joint distribution of the number of ones and the number of 1-runs in binary Markov sequences
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- On optimal exact coverings of a graph in the class of weakly dense bases
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