English

Centralizers in Ore extensions of polynomial rings

Rings and Algebras 2019-07-24 v4

Abstract

In this paper we consider centralizers of single elements in Ore extensions of the ring of polynomials in one variable over a field. We show that they are commutative and finitely generated as an algebra. We also show that for certain classes of elements their centralizer is singly generated as an algebra.

Keywords

Cite

@article{arxiv.1308.3430,
  title  = {Centralizers in Ore extensions of polynomial rings},
  author = {Johan Richter and Sergei Silvestrov},
  journal= {arXiv preprint arXiv:1308.3430},
  year   = {2019}
}