欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
研究了具有自反条件的环自同态，拓展了自反环的概念，引入α-rf环，讨论其与相关环的关系．证明了若R是半素的α-rf环，则R x （x^n）是α-rf环，其中（xn）〉是由xn生成的理想；对于右Ore环R和环R的自同构a，若R是α-rf环，则R的经典右商环Q（R）是α-rf环．推广了Kwak和Lcc的一些研究结果．
英文摘要：
This note studies rings endomorphisms with the reflexive condition. The notion of a-rt rings, a genera｜izatin of reflexive rings,is introduced,the relations between α-rf rings and related rings are discussed. It is proved that if R is a semiprime a-rf ring,then R[x]/（xn） is an a-rf ring,where （xn） is the ideal generated by xn;For a right Ore ring R with Q its classical right quotient ring and an automorphism a of a ring R, if R is a-rf ring, then Q is also α-rf ring. As consequences, some conclusions of Kwak-Lee were generalized.
同期刊论文项目
同项目期刊论文
期刊信息
位置：