无挠左（右）Artin环是拟Frobenius环  

The Maximal Rational Extension of Torsionfree Artinian Ring Is Quasi-Frobenius

作　　者：乌成伟 

机构地区：[1]吉林工学院基础部

出　　处：《Journal of Mathematical Research and Exposition》1995年第4期631-632,共2页数学研究与评论（英文版）

摘　　要：无挠左（右）Ａｒｔｉｎ环是拟Ｆｒｏｂｅｎｉｕｓ环乌成伟（吉林工学院基础部，长春１３００１２）关键词内积，左（右）内零化子，自内射环．分类号ＡＭＳ（１９９１）１６Ｄ５０／ＣＣＬＯ１５３．３设Ｒ为有１的左（右）Ａｒｔｉｎ环，如果对于任一整数洲与ｒ∈Ｒ，ｍ...The maximal rational extension of any associative ring R,which involves rationalnumber field,is a selfinjective ring.The maximal rational extension of every left ideal ofR is a left annulator of the maximal rational extension of R.If R is a torsionfree Artinianring,then the maximal of R is a quasi-Frobenius ring.

关 键 词：内积 自内射环 阿丁环 拟Frobeius环 

分 类 号：O153.3[理学—数学]