The Some Properties of Skew Polynomial Rings

作     者：Qianqian Chu Hailan Jin Qianqian Chu;Hailan Jin

作者机构：Department of Mathematics College of Sciences Yanbian University Yanji China 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2016年第6卷第7期

页      面：507-511页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Skew Polynomial Ring (Quasi)-Baer Ring Armendariz Ring Morita Context Ring Morita Invariance Nozero Divisor Ring 

摘      要：This 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.