摘要
证明了如下主要结果 :(1)如果R是左P-内射的 ,左P -V′-环 ,则R是右 (左 )非奇异的 ;(2 )如果R是左AP -内射的 ,左P-V′-环 ,则R是半本原环 ;(3)如果R是左P-V′ -环 ,那么Z(RR) ∩J(R) =0 ;(4)如果R是左P-V′-环且R满足特殊左零化子的降链条件 ,则R是左非奇异的 .这些结果是P -V-环的相关结果的改进与推广 ,它们对于进一步研究P-V
In this paper, let R be a left P-V′-ring: we proved the following main results(1) If R is left p-injective, then R is right(left)nonsigular, (2) If R is Left Ap-injective, then R is semiprimtive;(3)Z( RR)∩J(R)=0;(4) If R satisfies the descending chain condition for special left annihilators, then R is left nonsigular. These results generalized some relative results about P-V-rings, the results are useful in study of ring and module theory.
出处
《安徽师范大学学报（自然科学版）》
CAS
2001年第4期313-315,324,共4页
Journal of Anhui Normal University(Natural Science)
