Chu, QianqianJin, Hailan2016-07-252016-07-252016-06http://dx.doi.org/10.4236/apm.2016.67037http://hdl.handle.net/123456789/890This paper mainly studies some properties of skew polynomial ring related to Morita invariance, Armendariz and (quasi)-Baer. First, we show that skew polynomial ring has no Morita invariance by the counterexample. Then we prove a necessary condition that skew polynomial ring constitutes Armendariz ring. We lastly investigate that condition of skew polynomial ring is a (quasi)-Baer ring, and verify that the conditions is necessary, but not sufficient by example and counterexample.enSkew Polynomial Ring(Quasi)-Baer RingArmendariz RingMorita Context RingMorita InvarianceNozero Divisor RingArticle