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| 无挠左（右）Artin环是拟Frobenius环 | |
| 引用本文： | 乌成伟. 无挠左（右）Artin环是拟Frobenius环[J]. 数学研究及应用, 1995, 15(4): 631-632 |
| 作者姓名： | 乌成伟 |
| 作者单位： | 吉林工学院基础部 |
| 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... |
| 关 键 词： | 内积 左（右）内零化子 自内射环． |
| 收稿时间： | 1992-10-21 |
| 修稿时间： | 1994-04-08 |
The Maximal Rational Extension of Torsionfree Artinian Ring Is Quasi-Frobenius |
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| Wu Chengwei. The Maximal Rational Extension of Torsionfree Artinian Ring Is Quasi-Frobenius[J]. Journal of Mathematical Research with Applications, 1995, 15(4): 631-632 | |
| Authors: | Wu Chengwei |
| Affiliation: | Jilin Institute of Technology; Changchun 130012 |
| 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. |
| Keywords: | inner product left(ring)annulator self injective ring. |
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