| 弱对偶环 |
| |
| 引用本文： | 魏俊潮,孙建华. 弱对偶环[J]. 东北数学, 2004, 20(4): 396-402 |
| |
| 作者姓名： | 魏俊潮 孙建华 |
| |
| 作者单位： | College of Mathematics Science Yangzhou University，Jiangsu，225002，College of Mathematics Science Yangzhou University，Jiangsu，225002 |
| |
| 基金项目： | Foundationitem:The NNSP(19971073) of China and the NSF of Yangzhou University |
| |
| 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.
|
| 关 键 词： | 弱对偶环 零化子 W-左理想 AP-单射环 |
Weakly Dual Rings |
| |
| WEI Jun-chaoand SUN Jian-hua. Weakly Dual Rings[J]. Northeastern Mathematical Journal, 2004, 20(4): 396-402 |
| |
| Authors: | WEI Jun-chaoand SUN Jian-hua |
| |
| Affiliation: | CollegeofMathematicsScience,YangzhouUniversity,Jiangsu,225002 |
| |
| 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. |
| |
| Keywords: | weakly dual ring annihilator W-left ideal |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
