NONCOMMUTATIVE POLYNOMIAL MAPS
André Leroy · Journal of Algebra and Its Applications · 2012
Polynomial maps attached to polynomials of an Ore extension are naturally defined. In this setting we show the importance of pseudo-linear transformations and give some applications. In particular, factorizations of polynomials in an Ore extension over a finite field 𝔽 q [t;θ], where θ is the Frobenius automorphism, are translated into factorizations in the usual polynomial ring 𝔽 q [x].