The composition of polynomials by the substitution principle
Miroslav Kuresbreve · Journal of Discrete Mathematical Sciences and Cryptography · 2010
The necessity to distinguish between polynomials and polynomial maps is recalled. Especially, the incorrectness of a transfer to polynomial maps in order to define a composition of polynomials is demonstrated and a pure composition of polynomials is presented. Furthermore, a composition is defined for n-tuples of polynomials and it is proved that they form a composition ring.