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arXiv · 0910.5374

Quasi-Duo Skew Polynomial Rings

Andre Leroy·Jerzy Matczuk·Edmund R. Puczylowski
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Abstract

A characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and skew Laurent polynomial rings are given. In particular, it is shown that (1) the polynomial ring R[x] is right quasi-duo iff R[x] is commutative modulo its Jacobson radical iff R[x] is left quasi-duo, (2) the skew Laurent polynomial ring is right quasi-duo iff it is left quasi-duo. These extend some known results concerning a description of quasi-duo polynomial rings and give a partial answer to the question posed by Lam and Dugas whether right quasi-duo rings are left quasi-duo.

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Andre Leroy, Jerzy Matczuk, Edmund R. Puczylowski. 2009-10-28. Quasi-Duo Skew Polynomial Rings. https://doi.org/10.1016/j.jpaa.2008.01.002

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