正规几乎PP环  

On Normal Almost PP Rings

作　　者：陈兰清[1] 

机构地区：[1]福建师范大学数学系,福州350007

出　　处：《数学研究》1998年第2期221-224,共4页Journal of Mathematical Study

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.

关 键 词：PP环 正规 多项式环 刻划 对称性 证明 

分 类 号：O153.3[理学—数学] O151.21[理学—基础数学]