| The Maximal Rational Extension of Torsionfree Artinian Ring Is Quasi-Frobenius |
| Received:October 21, 1992 Revised:April 08, 1994 |
| Key Words:
inner product left（ring）annulator self injective ring.
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1995.04.030 |
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