Ore Extensions over Duo Rings

Details Ore Extensions over Duo Rings Ore Extensions over Duo Rings

2004-10-25

arxiv.org/abs/math/0410521v1

Mathematics

Rings and Algebras

Scientific paper

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.

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