| 环之间的一种新的模糊同态 |
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| 引用本文： | 韩华. 环之间的一种新的模糊同态[J]. 辽宁师范大学学报(自然科学版), 2001, 24(3): 252-254 |
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| 作者姓名： | 韩华 |
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| 作者单位： | 武汉理工大学数学系, |
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| 摘 要： | 先给出经典集合之间的模糊映射，模糊单射及模糊满射的定义，然后给出一个模糊子集在模糊映射之下的象和原象的意义。最后给出了经典环之间的模糊同态的定义，证明了模糊子环的象和原象仍是模糊子环，推广了环的同态基本定理。
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| 关 键 词： | 模糊集 模糊映射 环 环同态 模糊同态 模糊单射 模糊满射 象 |
| 文章编号： | 1000-1735(2001)03-0252-03 |
| 修稿时间： | 2001-02-25 |
A New Kind of Fuzzy Homomorphism of Rings |
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| HAN Hua. A New Kind of Fuzzy Homomorphism of Rings[J]. Journal of Liaoning Normal University(Natural Science Edition), 2001, 24(3): 252-254 |
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| Authors: | HAN Hua |
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| Abstract: | Definitions of fuzzy mapping,fuzzy injection and fuzzy surjection are given between classical sets.Fuzzy image f(A) of a fuzzy set A and fuzzy inverse image f -1 (B) of a fuzzy set B under fuzzy mapping f are defined.In the end,fuzzy homomorphism of rings is given.It is proved fuzzy image of a fuzzy subring and fuzzy inverse image of a fuzzy subring are fuzzy subrings and the Fundamental Homomorphism Theorem of rings is generalized. |
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| Keywords: | fuzzy sets fuzzy mapping rings homomorphism of rings |
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