特征不为2的素环可交换的又一条件  

THE ANOTHER CONDITION OF MAKING THE PRIWE RING WITH CHARACTERISTIC NOT 2 BE COMMUTATIVE RING

作　　者：黄允宝[1] 奚欧根[1] 

机构地区：[1]杭州教育学院,宁波大学数学系

出　　处：《宁波大学学报（理工版）》1994年第1期1-5,共5页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：设Ｒ是中心为Ｃ且特征不为２的素环。本文证明了下列结果：Ｎ是Ｒ的非零理想，ｄ是Ｒ上一个非零导子，若对一切ａ∈Ｎ．［ｄ２（ａ），ａ］∈Ｃ则Ｒ是一个交换环。he purpose of this paper is to prove the following theorem which generalizes both a classical result of E.Posner and a recent result of L.O.chung and Jiang Lug:Let R be a prime ring of characteristic different from 2 and N a nonzero ideal of R,suppose the d is a nonzer derivation. on R such that d2(a)a-ad2(a)is central for all a∈N.Then R is a commutative ring.

关 键 词：素环 理想 导子 交换环 

分 类 号：O153.3[理学—数学]