| 弱对偶环 |
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| 引用本文： | 魏俊潮,孙建华.弱对偶环[J].东北数学,2004,20(4):396-402. |
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| 作者姓名： | 魏俊潮 孙建华 |
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| 作者单位： | College of Mathematics Science Yangzhou University，Jiangsu，225002，College of Mathematics Science Yangzhou University，Jiangsu，225002 |
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| 基金项目： | Foundationitem:The NNSP(19971073) of China and the NSF of Yangzhou University |
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| 摘 要： | In This paper, the concept of weakly dual ring is introduced, which is a proper generalization of the dual ring. If R is a right weakly dual ring, then (1) Z(RR) = J(R); (2) If R is also a zero-division power ring, then R is a right AP-injective ring. In addition, some properties of weakly dual rings are given.
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| 关 键 词： | 弱对偶环 零化子 W-左理想 AP-单射环 |
Weakly Dual Rings |
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| WEI Jun-chaoand SUN Jian-hua.Weakly Dual Rings[J].Northeastern Mathematical Journal,2004,20(4):396-402. |
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| Authors: | WEI Jun-chaoand SUN Jian-hua |
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| Institution: | CollegeofMathematicsScience,YangzhouUniversity,Jiangsu,225002 |
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| Abstract: | In This paper, the concept of weakly dual ring is introduced, which is a proper generalization of the dual ring. If R is a right weakly dual ring, then (1)Z(RR) = J(R); (2) If R is also a zero-division power ring, then R is a right AP-injective ring. In addition, some properties of weakly dual rings are given. |
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| Keywords: | weakly dual ring annihilator W-left ideal |
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