| 半群中一些特殊Fuzzy双理想之间的关系 |
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| 引用本文： | 张磊,李世群.半群中一些特殊Fuzzy双理想之间的关系[J].湖南理工学院学报,2012(4):6-9,16. |
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| 作者姓名： | 张磊 李世群 |
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| 作者单位： | 湖南科技大学数学与计算科学学院,湖南湘潭411201 |
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| 基金项目： | 湖南省研究生科研创新项目资助（CX20128395）;湖南省普通高等学校教学改革项目 |
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| 摘 要： | 讨论了半群S中,P为S的Fuzzy弱素双理想与其t截集Pt(t>0)为素双理想之间的关系,以及Fuzzy完全素双理想与Fuzzy素双理想的关系,并证明了在正则交换半群中,P为S的Fuzzy完全素双理想当且仅当P为半群S的Fuzzy素双理想;P为S的Fuzzy弱完全素双理想当且仅当P为半群S的Fuzzy弱素双理想.
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| 关 键 词： | Fuzzy素双理想 Fuzzy弱素双理想 Fuzzy完全素双理想 |
The Relationships of Some Special Fuzzy Bi-ldeals in Semigroups |
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| ZHANG Lei,LI Shi-Qun.The Relationships of Some Special Fuzzy Bi-ldeals in Semigroups[J].Journal of Hunan Institute of Science and Technology,2012(4):6-9,16. |
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| Authors: | ZHANG Lei LI Shi-Qun |
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| Institution: | (School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan 411201, China) |
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| Abstract: | In this paper we discuss the relationship between when a fuzzy subset P of the semigroup S is a fuzzy weak prime hi-ideal and when its t- cut Pt （t 〉 0） is a prime bi-ideal, and we also discuss the relationship between fuzzy complete prime bi-ideals and fuzzy prime bi-ideals. What＇s more, we prove that in a commutative regular semigroup S, for which the fuzzy subset P is a fuzzy complete prime bi-ideal if and only if it＇s a fuzzy prime bi-ideal; P is a fuzzy weak complete prime bi-ideal of S if and only if it＇s a fuzzy weak prime bi-ideal. |
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| Keywords: | Fuzzy prime bi-ideal Fuzzy weak prime bi-ideal Fuzzy complete prime bi-ideal |
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