| BCK-代数的模糊点正定关联理想(英文) |
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| 引用本文： | 谢跃美,王凤琼,彭家寅.BCK-代数的模糊点正定关联理想(英文)[J].四川师范大学学报(自然科学版),2012(1):29-32. |
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| 作者姓名： | 谢跃美 王凤琼 彭家寅 |
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| 作者单位： | 成都理工大学信息管理学院;成都信息工程学院数学学院;内江师范学院数学系 |
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| 基金项目： | supported by Special Fund of Key Laboratory of Department of Education of Sichuan Provincial(2006ZD050)~~ |
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| 摘 要： | 引入了BCK-代数的模糊点正定关联理想的概念,并给出了恰当的例子,给出了BCK-代数的模糊点理想与模糊点正定关联理想之间的关系;获得了BCK-代数的模糊点正定关联理想的若干等价条件,证明了模糊点正定关联理想(模糊点理想)在满同态下的逆象仍为模糊点正定关联理想(模糊点理想).
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| 关 键 词： | 模糊(点)正定关联理想 模糊(点)理想 同态 |
Fuzzy Dot Positive Implicative Ideals in BCK-algebras |
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| XIE Yue-mei,WANG Feng-qiong,PENG Jia-yin.Fuzzy Dot Positive Implicative Ideals in BCK-algebras[J].Journal of Sichuan Normal University(Natural Science),2012(1):29-32. |
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| Authors: | XIE Yue-mei WANG Feng-qiong PENG Jia-yin |
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| Institution: | 1.College of Information Management,Chengdu University of Technology,Chengdu 610059,Sichuan;2.College of Mathematics,Chengdu University of Information Technology,Chengdu 610225,Sichuan;3.Department of Mathematics,Neijiang Teacher’s College,Neijiang 641112,Sichuan) |
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| Abstract: | In this paper,the notion of fuzzy dot positive implicative ideals in BCK-algebras is introduced,and some appropriate examples are provided.Relations between fuzzy dot ideals and fuzzy dot positive implicative ideals in BCK-algebras are given;some equivalent conditions of fuzzy dot positive implicative ideals are obtained.It is proved that homomorphic inverse images of fuzzy dot positive implicative ideals(fuzzy dot ideals) are also fuzzy dot positive implicative ideals(fuzzy dot ideals). |
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| Keywords: | fuzzy(dot) positive implicative ideal fuzzy(dot) ideal homomorphism |
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