摘要
讨论了一致环的半素性,证明了:(1)设J是有非零零因子约化环R的一个一致左理想,则对任意0≠a∈J,都有r(J)=r(a);(2)半素左一致DQC环是无零因子环;(3)半素左一致左P-内射环是体。
Semiprime quality of uniform rings is discussed. It is shown that: ( 1 ) Suppose that J is a left uniform ideal ofareduced ring R who has no zero-factor except zero, then r(J) =r(a) for any0≠α∈J; (2) A semiprime left uniform and DQC ring is certain a non zero - divisor ring ; and (3) A semiprime left uniform and left P- injective ring is certain a divisor ring.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2008年第4期548-550,共3页
Journal of Natural Science of Heilongjiang University
基金
黑龙江省自然科学基金资助项目(2000601)
关键词
理想
一致环
半素环
ideal
uniform rings
semiprime rings