| Ideals in Morita Rings and Morita Semigroups |
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| 引用本文： | Yu Qun CHEN Yun FAN Zhi Feng HAO. Ideals in Morita Rings and Morita Semigroups[J]. 数学学报(英文版), 2005, 21(4): 893-898. DOI: 10.1007/s10114-004-0427-y |
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| 作者姓名： | Yu Qun CHEN Yun FAN Zhi Feng HAO |
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| 作者单位： | [1]Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China [2]Department of Mathematics, Wuhan University, Wuhan 430072, P. R. China [3]Department of Applied Mathematics, South China University of Technolog, Guangzhou 510641, P. R. China |
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| 基金项目： | The research is supported by the National Natural Science Foundation of China （Grant No.19971028） and the Natural Science Foundation of Guangdong Province （Grant No.000463, 021073 and z02017） |
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| 摘 要： | We characterize the lattice of all ideals of a Morita ring （semigroup） when the corresponding pair of rings （semigroups） in the Morita context are Morita equivalent s-unital （like-unitv） rings （semigroups）.
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| 关 键 词： | Morita半群 格理想 等价性 满射函数 |
| 收稿时间： | 2002-05-27 |
| 修稿时间： | 2002-05-272002-12-23 |
Ideals in Morita Rings and Morita Semigroups |
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| Yu Qun Chen,Yun Fan,Zhi Feng Hao. Ideals in Morita Rings and Morita Semigroups[J]. Acta Mathematica Sinica(English Series), 2005, 21(4): 893-898. DOI: 10.1007/s10114-004-0427-y |
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| Authors: | Yu Qun Chen Yun Fan Zhi Feng Hao |
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| Affiliation: | (1) Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China;(2) Department of Mathematics, Wuhan University, Wuhan 430072, P. R. China;(3) Department of Applied Mathematics, South China University of Technolog, Guangzhou 510641, P. R. China |
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| Abstract: | We characterize the lattice of all ideals of a Morita ring (semigroup) when the corresponding pair of rings (semigroups) in the Morita context are Morita equivalent s–unital (like–unity) rings (semigroups). The research is supported by the National Natural Science Foundation of China (Grant No. 19971028) and the Natural Science Foundation of Guangdong Province (Grant No. 000463, 021073 and z02017) |
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| Keywords: | Ideal Morita ring Morita semigroup |
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