摘要
本文讨论了环R和R[x](这里x^2=0或x^2=x)的正则性与半单性之间的关系,给出了一类有趣的FC环类——R[x],这里R为正则环,x^2=0,并确定了这种环的所有有限生成平坦右理想.
This paper discusses some relations of regularity and semisimplicity between ring R and ring R[x], where x^2 =0 or x^2=x; gives a class of FC ring, R[x], where R is a von Neumann regular ring, x^2=0; and describes all f.g. flat right ideal of the ring.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
1991年第1期91-96,共6页
Journal of Southeast University：Natural Science Edition
关键词
环
冯氏正则环
半单环
FC环
ring, dimension / von Neumann regular ring, semisimple ring, FC ring
