| BCC-代数的模糊理想与同余 |
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| 引用本文： | 彭家寅.BCC-代数的模糊理想与同余[J].内江师范学院学报,2010,25(10):5-11. |
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| 作者姓名： | 彭家寅 |
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| 作者单位： | 内江师范学院数学与信息科学学院//四川省高等学校数值仿真重点实验室; |
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| 基金项目： | 四川省教育厅重点实验室专项，四川省科技厅重点科技项目 |
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| 摘 要： | 引入BCC-代数的一种新的模糊理想,并研究了它的性质,讨论了BCC-代数中模糊BCC-子代数、模糊BCK-子代数、模糊BCC-理想、模糊BCK-理想四者间的关系,给出了BCC-代数的模糊BCC-理想与BCC-代数的积代数的模糊BCC-理想二者间的关系,揭示了BCC-代数的模糊BCC-理想与同余之间的联系,讨论了由模糊BBC-理想诱导的商BCC-代数.最后,研究了模糊BCC-理想与模糊BCK-子代数的同态象和同态逆象,建立了模糊同态基本定理.
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| 关 键 词： | 模糊BCC/BCK-子代数 模糊BCC/BCK-理想 同余 商BCC-代数 同态 |
Fuzzy Ideals and Congruences in BCC-algebras |
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| PENG Jia-yin.Fuzzy Ideals and Congruences in BCC-algebras[J].Journal of Neijiang Teachers College,2010,25(10):5-11. |
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| Authors: | PENG Jia-yin |
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| Institution: | PENG Jia-yin (School of Mathematics and Information Science//Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Sichuan,Neijiang 641100,China) |
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| Abstract: | A new fuzzy ideal in BCC-algebras is introduced and its properties are investigated, the relations among fuzzy BCK-subalgebra, fuzzy BCC-subalgebra, fuzzy BCK-ideal and fuzzy BCC-ideal in BCC-algebras are discussed, the relations between a fuzzy BCC- ideal in BCC-algebras and a fuzzy BCC-ideal in the product algebra of BCC-algebras are given. The connections between congruences and fuzzy BCC-ideals are revealed, quotient BCC-algebras induced by fuzzy BCC-ideal are discussed. Finally, how to deal with the homomorphic images and inverse images of fuzzy BCC-ideals and fuzzy BCC-subalgebras are investigated, and the fuzzy homomorphism fundamental theorem is established. |
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| Keywords: | fuzzy BCC/BCK-subalgebra fuzzy BCC/BCK-ideal congruence quotient BCC-algebra homomorphism |
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