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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Author NameAffiliation
Wu Chengwei Jilin Institute of Technology
Changchun 130012 
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      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.
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