| 超理想的单子及其应用 |
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| 引用本文： | 靳永军,陈东立,马春晖. 超理想的单子及其应用[J]. 纯粹数学与应用数学, 2008, 24(3) |
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| 作者姓名： | 靳永军 陈东立 马春晖 |
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| 作者单位： | 西安建筑科技大学理学院,陕西,西安,710055;西安工业大学数理系,陕西,西安,710032;西安建筑科技大学理学院,陕西,西安,710055 |
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| 基金项目： | 陕西省自然科学基金，西安建筑科技大学校科研和教改项目 |
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| 摘 要： | 在扩大模型下,用超理想的单子对超理想进行刻画;进而用它给出了理想为超理想的条件;最后给出理想的单子与超理想的单子之间的关系.
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| 关 键 词： | 理想 超理想 单子 |
The monad of ultra-ideal and its application |
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| JIN Yong-jun,CHEN Dong-li,MA Chun-hui. The monad of ultra-ideal and its application[J]. Pure and Applied Mathematics, 2008, 24(3) |
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| Authors: | JIN Yong-jun CHEN Dong-li MA Chun-hui |
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| Affiliation: | JIN Yong-jun~(1,2) CHEN Dong-li~1 MA Chun-hui~1 1. School of Science,Xi'an University of Architecture , Technology,Xi'an 710055,China 2. School of Mathematics , physical,Xi'an Industry University,Xi'an 710032,China |
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| Abstract: | The non-standard characteristic of ultra-ideal is obtained by the monad of ultra-ideal in the enlarge- ment model. The condition of when an ideal is an ultra-ideal is given by using the non-standard characteristic of ultra-ideal. Finally, the relation between the monad of ideal and the monad of ultra-ideal is discussed. |
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| Keywords: | ideal ultra-ideal monad |
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