English

Ore Extensions over Duo Rings

Rings and Algebras 2007-05-23 v1

Abstract

We show that there exist noncommutative Ore extensions in which every right ideal is two-sided. This answers a problem posed by Marks in Duo Rings and Ore extensions, J.Algebra 280(2), (2004). We also provide an easy construction of one sided duo rings.

Keywords

Cite

@article{arxiv.math/0410521,
  title  = {Ore Extensions over Duo Rings},
  author = {Jerzy Matczuk},
  journal= {arXiv preprint arXiv:math/0410521},
  year   = {2007}
}