| 关于序半群的模糊拟理想 |
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| 引用本文： | 唐剑,谢祥云.关于序半群的模糊拟理想[J].数学研究及应用,2012,32(5):589-598. |
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| 作者姓名： | 唐剑 谢祥云 |
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| 作者单位： | 阜阳师范学院数学与计算科学学院, 安徽 阜阳 236037;五邑大学数学与计算科学学院, 广东 江门 529020 |
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| 基金项目： | 国家自然科学基金(Grant No.10961014), 广东省科技计划基金(Grant No.2010B010600039),广东省自然科学基金重点项目(Grant No.S2011010003681),安徽省优秀青年人才基金重点项目(Grant No.2012SQRL115ZD),安徽省高等学校省级自然科学研究项目(Grant No.KJ2012B133),阜阳师范学院自然科学基金项目(Grant No.2007LZ01). |
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| 摘 要： | In this paper,fuzzy quasi-ideals of ordered semigroups are characterized by the properties of their level subsets.Furthermore,we introduce the notion of completely semiprime fuzzy quasi-ideals of ordered semigroups and characterize strongly regular ordered semigroups in terms of completely semiprime fuzzy quasi-ideals.Finally,we investigate the characterizations and decompositions of left and right simple ordered semigroups by means of fuzzy quasi-ideals.
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| 关 键 词： | fuzzy quasi-ideal completely semiprime fuzzy quasi-ideal strongly regular ordered semigroup left simple ordered semigroup right simple ordered semigroup. |
| 收稿时间： | 1/5/2011 12:00:00 AM |
| 修稿时间： | 2011/8/31 0:00:00 |
On Fuzzy Quasi-Ideals of Ordered Semigroups |
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| Jian TANG and Xiangyun XIE.On Fuzzy Quasi-Ideals of Ordered Semigroups[J].Journal of Mathematical Research with Applications,2012,32(5):589-598. |
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| Authors: | Jian TANG and Xiangyun XIE |
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| Institution: | School of Mathematics and Computational Science, Fuyang Normal College, Anhui 236037, P. R. China;School of Mathematics and Computational Science, Wuyi University, Guangdong 529020, P. R. China |
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| Abstract: | In this paper, fuzzy quasi-ideals of ordered semigroups are characterized by the properties of their level subsets. Furthermore, we introduce the notion of completely semiprime fuzzy quasi-ideals of ordered semigroups and characterize strongly regular ordered semigroups in terms of completely semiprime fuzzy quasi-ideals. Finally, we investigate the characterizations and decompositions of left and right simple ordered semigroups by means of fuzzy quasi-ideals. |
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| Keywords: | fuzzy quasi-ideal completely semiprime fuzzy quasi-ideal strongly regular ordered semigroup left simple ordered semigroup right simple ordered semigroup |
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