| Fuzzy代数与Fuzzy商代数 |
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| 引用本文： | 党发宁. Fuzzy代数与Fuzzy商代数[J]. 模糊系统与数学, 1996, 10(4): 68-75 |
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| 作者姓名： | 党发宁 |
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| 作者单位： | 西南交通大学应用力学研究所 |
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| 摘 要： | 本文更深入地讨论了Ｆｕｚｚｙ代数，Ｆｕｚｚｙ理想的性质，定义了Ｆｕｚｚｙ商代数，并证明了代数Ｙ关于代数Ｚ的同态ｆ－１［Ｏｚ］的Ｆｕｚｚｙ商代数与代数Ｚ同构等性质。
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| 关 键 词： | Fuzzy环；Fuzzy向量空间；Fuzzy代数；Fuzzy商代数；同态映射 |
Fuzzy Algebras and Fyzzy Quotient Algebra |
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| Dang Faning. Fuzzy Algebras and Fyzzy Quotient Algebra[J]. Fuzzy Systems and Mathematics, 1996, 10(4): 68-75 |
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| Authors: | Dang Faning |
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| Abstract: | This paper discuss the advanced properties of fuzzy algebra and fuzzy ideal, give the definition of fuzzy quotient algebra, and prove that the fuzzy quotient algebra y/f-1[O.w]of kernel f(-1) [Ow] of a homomorphism over Y is isomorphism to algebra Z and etc. |
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| Keywords: | Fuzzy rings fuzzy vector spaces fuzzy algebras fuzzy quotient algebras homomorphism |
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