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Duo rings and Ore extensions
Authors:Greg Marks
Institution:Department of Mathematics and Computer Science, St. Louis University, St. Louis, MO 63103, USA
Abstract:We show that in an Ore polynomial ring, every left ideal is two-sided only in the trivial commutative case. It is unknown whether the analogous statement about right ideals is true. We establish a variety of restrictions on any putative counterexample.
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