摘要
考察半素PI-环的左、右正则元,得到如下3个方面的结果:(1)半素PI-环的左正则元一定是右正则的;(2)半素PI-环R的正则元a所生成的左理想Ra在R中是本质的,且Ra与R满足相同的多项式恒等式;(3)半素PI-环的正则元在其有1的商环中是可逆的.
An investigation on left and right regular elements of semiprime PI-rings was made,and obtained three results：（1）The left regular element was the right regular in semiprime PI-ring;（2）The left ideal Ra of regular element a in semiprime PI-rings was essential;and R and Ra satisfies the same polynomial identities;（3）The regular element in semiprime PI-ring R was invertible in the maximal left quotient ring of R.
出处
《湖北大学学报（自然科学版）》
CAS
北大核心
2010年第4期351-353,共3页
Journal of Hubei University：Natural Science
