| MTL代数中的布尔滤子和正蕴涵滤子 |
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| 引用本文： | 吴苏朋.MTL代数中的布尔滤子和正蕴涵滤子[J].云南师范大学学报(自然科学版),2009,29(2):33-37. |
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| 作者姓名： | 吴苏朋 |
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| 作者单位： | 安康学院数学系,陕西安康,725000 |
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| 基金项目： | 国家自然科学基金，安康学院专项科研计划 |
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| 摘 要： | 在MTL代数中,给出布尔滤子的几种等价刻画,提出了正蕴涵滤子和固执滤子的概念,讨论了它们的一些基本性质,得到几类滤子之间及相互转化的关系。证明在满足正则性的MTL代数中,布尔滤子和正蕴涵滤子相互等价,超滤和固执滤子相互等价。
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| 关 键 词： | MTL代数 布尔滤子 正蕴涵滤子 固执滤子 |
A Boolean And Positive Implicative Filter In MTL-algebra |
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| WU Su-peng.A Boolean And Positive Implicative Filter In MTL-algebra[J].Journal of Yunnan Normal University (Natural Sciences Edition),2009,29(2):33-37. |
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| Authors: | WU Su-peng |
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| Institution: | WU Su - peng ( Department Of Mathematics, Ankang College, Ankang, Shannxi) |
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| Abstract: | In MTL - algebra, give several characteristic properties of Boolean filter. Propose the concepts of a positive implicative and obstinate filter. Discuss their some properties and the relations between all kinds of filters. In IMTL- algebra（ MTL- algebra satisfying the involutive law） ,prove that a positive implicative filter is equivalent to a Boolean filter, and an obstinate filter is also equivalent to an ultra filter. |
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| Keywords: | MTL- algebra a Boolean filter a positive implicative filter an obstinate filter |
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