摘要
设I是环R的理想,并且R/I是诣零Armendariz环.本文给出了环R是诣零Armendariz环的几个充分条件.此外,我们还讨论了环R和R[x]中的弱零化子之间的关系,给出了R是诣零Ar-mendariz环的一些等价条件.
LetIbe an ideal of R, and R/Ibe a nil-Armendariz ring, we give some sufficient conditions for R to be a nil-Armendariz ring. Moreover, we investigate the relationship between the weakly annihilators in R and those in R [x], and give some equivalent conditions for R to be a nil-Armendariz ring.
出处
《河西学院学报》
2012年第5期32-35,31,共5页
Journal of Hexi University
