Abstract
We study a natural notion of polynomial maps attached to elements of an iterated Ore extension [Formula: see text]. We develop some tools to analyze these maps such as good points, multilinear transformations and P-independence. We also present polynomial maps arising in the Multivariate extensions [Formula: see text], introduced by Martínez-Peñas and Kschischang [Evaluation and interpolation over multivariate skew polynomial rings, J. Algebra 525 (2019) 111–139], through the use of Multilinear polynomial maps.
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