Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589389 | Journal of Algebra | 2006 | 16 Pages |
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