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正规几乎PP环
引用本文:陈兰清.正规几乎PP环[J].数学研究,1998,31(2):221-224.
作者姓名:陈兰清
作者单位:福建师范大学数学系!福州350007
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.

关 键 词:正规环  几乎PP环  零化子  拟正则环  多项式环

On Normal Almost PP Rings
Chen Lanqing.On Normal Almost PP Rings[J].Journal of Mathematical Study,1998,31(2):221-224.
Authors:Chen Lanqing
Abstract: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 Rx] is a normal almost PP ring if and mily if R is a normal almost PP ring.
Keywords:Normal ring  Almost PP ring  Annihilator  Quasi regular ring  Polynomial ring  
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