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| 半环上的模糊素理想和模糊素根 | |
| 引用本文： | 马振明,杨伟,赵建立,赵琳琳.半环上的模糊素理想和模糊素根[J].模糊系统与数学,2006,20(5):43-46. |
| 作者姓名： | 马振明 杨伟 赵建立 赵琳琳 |
| 作者单位： | 1. 临沂师范学院,数学系,山东,临沂,276005;聊城大学,数学科学学院,山东,聊城,252059 2. 临沂师范学院,数学系,山东,临沂,276005 3. 聊城大学,数学科学学院,山东,聊城,252059;华东师范大学,数学系,上海,200062 4. 聊城大学,数学科学学院,山东,聊城,252059 |
| 基金项目： | 山东省自然科学基金资助项目(2004ZX13) |
| 摘 要： | 引入了半环的模糊素理想的概念,给出了它的几种刻画方式,得到了它的一些性质;进一步定义了模糊素理想的模糊素根,获得了一些漂亮结果。 |
| 关 键 词： | 模糊理想 模糊素理想 模糊素根 |
| 文章编号： | 1001-7402（2006）05-0043-04 |
| 收稿时间： | 2005-08-21 |
| 修稿时间： | 2005-10-27 |
Fuzzy Prime Ideals and Fuzzy Prime Radicals over Semiring |
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| MA Zhen-ming,YANG Wei,ZHAO Jian-li,ZHAO Lin-lin.Fuzzy Prime Ideals and Fuzzy Prime Radicals over Semiring[J].Fuzzy Systems and Mathematics,2006,20(5):43-46. | |
| Authors: | MA Zhen-ming YANG Wei ZHAO Jian-li ZHAO Lin-lin |
| Institution: | 1. Department of Mathematics,Linyi Normal College, Linyi 276005,China 2. School of Mathematics Science,Liaocheng University,Liaocheng 252059 ,China 3. Department of Mathematics,East China Normal University,Shanghai 200062 |
| Abstract: | The concept of fuzzy prime ideal over semi ring is introduced and some properties are obtained. Further the concept of fuzzy prime radical is defined, and some pretty results are got. |
| Keywords: | Fuzzy Ideal Fuzzy Prime Ideal Fuzzy Prime Radical |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |