无挠左（右）Artin环是拟Frobenius环

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

中文关键词:  内积  左（右）内零化子  自内射环．

英文关键词:inner product  left（ring）annulator  self injective ring.

中文摘要:

      

英文摘要:

      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.