The Research For Properties Of Skew Polynomial Rings

Skew polynomial ring, as generalization of polynomial ring, was presented by Kamal in1994, and the properties of the skew polynomial ring have been a hot topic for the scholars. Liu and Fan studied the p.q.-Baernes of skew power series ring in1995, and Song researched the Baerness and quasi-Baerness of interation skew polynomial ring in2006, but weather or not the skew polynomial rings hold property of Armendariz and Morita invariance, further the Baerness and quasi-Baerness of skew polynomial ring have not proved.This paper mainly researches the properties of skew polynomial rings, we know the condi-tions that skew polynomial rings consist of Armendariz ring; and make use of Morita contexts theory throughout a counterexample, we proved skew polynomial rings have not Morita invari-ance; finally, we show that skew polynomial ring is not Baer ring throughout a counterexample.