| 半环上的素、半素、完全素、完全半素模糊理想 |
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| 引用本文： | 陈桂英,张则增.半环上的素、半素、完全素、完全半素模糊理想[J].模糊系统与数学,2006,20(2):72-75. |
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| 作者姓名： | 陈桂英 张则增 |
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| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059 |
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| 摘 要： | 引出半环中模糊点生成的模糊理想的定义,讨论了它的一些性质,并用它刻画了半环中素、半素、完全素、完全半素模糊理想,最后讨论了这几类理想的关系。
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| 关 键 词： | 模糊半环 模糊点生成的模糊理想 模糊理想 素模糊理想 半素模糊理想 完全素模糊理想 完全半素模糊理想 |
| 文章编号： | 1001-7402（2006）02-0072-04 |
| 收稿时间： | 2005-01-05 |
| 修稿时间： | 2005年1月5日 |
On Prime, Semiprime, Completely Prime,Completely Semiprime Fuzzy Ideals in Semirings |
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| CHEN Gui-ying,ZHANG Ze-zeng.On Prime, Semiprime, Completely Prime,Completely Semiprime Fuzzy Ideals in Semirings[J].Fuzzy Systems and Mathematics,2006,20(2):72-75. |
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| Authors: | CHEN Gui-ying ZHANG Ze-zeng |
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| Affiliation: | Liaocheng University,Liaoeheng 252059 ,China |
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| Abstract: | The concept of fuzzy ideal generated by fuzzy point in a semiring was introduced and its(properties) were studied.By this concept new characterizations of prime,semiprime,completely prime,completely semiprime fuzzy ideals in a semiring were given and their relation was studied finally. |
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| Keywords: | Fuzzy Semiring Fuzzy Ideal Generated by Fuzzy Point in a Semiring Fuzzy Ideals (Prime) Fuzzy Ideals Semiprime Fuzzy Ideals Completely Prime Fuzzy Ideals Completely Semiprime Fuzzy Ideals |
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