摘要
在整闭条件下描述了PTW整环R及其多项式环R[X],R〈x〉,R|x|之间的关系,证明了若R是整闭整环,则R是PTW整环,且R[X]中素w-理想可扩张当且仅当R[X]是PTW整环,最后对TW得到了类似的结论。
In this paper, the relation of PTW domain R and polynomial ring R [ X ], R 〈 X 〉, R(X) are described respectively on the integrally closed condition. It proves if R is an integrally closed domain, then R is a PTW domain and the prime w - ideal of R[ X ] can be extended if but only if R[ X ] is PTW domain. Finally, the similar conclusion of TW domain is given.
出处
《绵阳师范学院学报》
2008年第11期15-17,共3页
Journal of Mianyang Teachers' College
基金
国家自然科学基金(10671137)
四川省教育厅重点科研项目(2006A141)
绵阳师范学院自然科学青年科研项目