摘要
对于环R的多项式扩张(包括斜多项式环,斜洛朗多项式环,洛朗级数环和斜洛朗级数环),本文证明了在一定条件下,R是右zip环当且仅当R上的多项式扩张是右zip环.
It is proved that for many polynomial extensions(including skew polynomial ring, skew Laurent polynomial ring, Laurent series ring and skew I.aurent series ring), ring R is a right zip ring if and only if the polynomial extension over R is right zip ring.
出处
《西北师范大学学报(自然科学版)》
CAS
2006年第3期12-14,共3页
Journal of Northwest Normal University(Natural Science)
基金
甘肃省教育厅科研资助项目(0410B-09)
关键词
右zip环
环的多项式扩张
右零化子
斜多项式环
洛朗级数环
right zip ring
polynomial extension of ring
right annihilator
skew polynomial ring
Laurent series ring