Noncommutative polynomial maps
Rings and Algebras
2012-08-02 v1
Abstract
Polynomial maps attached to polynomials of an Ore extension are naturally defi ned. 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 fi nite fi eld F_q[t;S ], where S is the Frobenius automorphism, are translated into factorizations in the usual polynomial ring F_q[x].
Cite
@article{arxiv.1208.0112,
title = {Noncommutative polynomial maps},
author = {André Leroy},
journal= {arXiv preprint arXiv:1208.0112},
year = {2012}
}
Comments
Accept\'e pour publication dans "Journal of Algebra and its applications"; 16 pages