摘要
首先探讨正规几乎PP环的内刻划及左右对称性;其次,研究正规几乎PP环与PP环的关系,最后证明多项式环R[X」是正规几乎PP环当且仅当R是正规几乎PP环.
In this peper,we first chatacterize a normal almost PP ring by the behavior of its elements and show that the normal almost PP ring is left-right symmetric. Then we study the relationship between normal almost PP rings aug PP rings. Finally we prove that the polynomial ring R[x] is a normal almost PP ring if and mily if R is a normal almost PP ring.
出处
《数学研究》
CSCD
1998年第2期221-224,共4页
Journal of Mathematical Study
关键词
PP环
正规
多项式环
刻划
对称性
证明
Normal ring,Almost PP ring,Annihilator,Quasi regular ring,Polynomial ring