Article ID Journal Published Year Pages File Type
4589389 Journal of Algebra 2006 16 Pages PDF
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 [G. Marks, Duo rings and Ore extensions, J. Algebra 280 (2) (2004) 463–471]. We also provide an easy construction of one-sided duo rings.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory