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NONCOMMUTATIVE POLYNOMIAL MAPS

NONCOMMUTATIVE POLYNOMIAL MAPS

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 …