摘要
引入了环的Q根,证明了环R的Q根N等于R的所有t质理想之交:N=∩(O:M),M跑遍R的一切Q模,类似地,也可以得到[1]中所述的P根的两个新的刻划.
Q radical of rings is defined. tn this paper, It is proved that Q redical N of a ring R is the intersection of all t prime ideals of the ring, and that N=∩(0∶M), where R M runs through Q modules over the ring R. Similarly, two new characterizations of P radical defined in[1] is obtained.
出处
《辽宁大学学报（自然科学版）》
CAS
2000年第1期38-41,共4页
Journal of Liaoning University：Natural Sciences Edition
关键词
Q-根
环
模
多项式
Q radical, t prime ideal, Q module.
