关于超素环的左经典商环 |
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引用本文: | 陈培慈.关于超素环的左经典商环[J].数学季刊,1994,9(3):95-101. |
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作者姓名: | 陈培慈 |
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作者单位: | Dept.ofMath.JiangxiNormalUniversity,Nanchang,JiangxiProvince |
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摘 要: | In this paper,we define the left rank of a ring R and discuss the relatlons between a left ore reng R and its left classical quotient ring Q on the properties of their ideals and left ranks.Also we gave four equivalent types of the proposition:a ring R has a left classical quotient ring Q and Q is a division ring.As an application of this result,we gave a brief proof method which different from 2] on the theorem of the Goldie Prime rings.
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关 键 词: | 超素环 左经典商环 |
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